AWARDS

·       Received the President of India Award for the Best Research Paper presented at the 20th Congress of the Indian Society of Theoretical and Applied Mechanics, held at BHU, Varanasi – 1975.

 

·       Recipient of the National Scholarship awarded by the Ministry of Education, Govt. of India for Post-doctoral study abroad, 1979.

 

·       Received “IIT Bombay - Excellence in Teaching Award” for the year 1998.

 

·       Recipient of “C.L. Chandna Mathematics Award” from the Canadian World Education Foundation, Canada, for Distinguished and Outstanding Contributions to Mathematics Research and Teaching, 1999.

 

·       Received the “M.N. Saha Award for Research in Theoretical Sciences from the University Grants Commission, Govt. of India,  2001.

 

·       Received the “Distinguished Services Award” from the Vijnana Parishad of India and the Indian Society of Information Theory and Applications, at their joint Conference held at NSIT, New Delhi, for outstanding contributions to Promote Applications of Mathematics in India, 2002.

 

·       Received second time the “IIT Bombay – Excellence in Teaching Award” for the year 2003.

 

·       Received “Prof. S.C. Bhattacharya Research Excellence Award in Pure Sciences”, instituted by  the Indian Institute of Technology Bombay, 2005.

 

·       Appointed Chair Professor (Dec. 2009) in the Department of Mathematics, IIT Bombay for a period of three years.

 

·       Elected as a Fellow of the National Academy of Sciences, India ( F.N.A.Sc.), 1998.

 

·       Elected as a Fellow of the Indian National Science Academy (F.N.A.), 2002.

 

·        Elected President of the Indian Society of Theoretical and Applied Mechanics (ISTAM) for the year 2010.

 

·       Honoured with Fellowship of the International Academy of Physical Sciences, Allahabad, in recognition of his extra-ordinary contributions to Mathematics. (Dec. 2011).

 

 

 

HONOURS/DISTINCTIONS

 

·       Reviewer for Mathematical Reviews (USA) and Zentralblatt MATH (Germany).

 

·       Member of the National Committee on scientific matters related with International Council of Scientific Union (ICSU), International Union of Theoretical and Applied Mechanics (IUTAM) and International Mathematics Union (IMU) by the Indian National Science Academy (INSA), New Delhi.

 

·       Member of the Editorial Board of the Indian Journal of Pure and Applied Mathematics (January, 2005- Dec 2011).

 

·       Member of the Sectional Committee – I (Mathematical Sciences: Applied Mathematics, Pure Mathematics and Statistics) for INSA (Indian National Science Academy), New Delhi for a term of 3 years beginning January, 2005 to assess nominations received for INSA Fellow.

 

·       Delivered the Platinum Jubilee Commemoration Lecture at the 94th Indian Science Congress held at Annamalai University (Jan., 2007).

 

·       Member INSA- Committee for Recommending  Nominees for the Young Scientist Award (2007).

 

·       Member of the Shanti Swaroop Bhatnagar Award Committee to Assess Nominations for  Award, 2007.

 

·       Member of the UGC Committee to review proposals from the Mathematics departments of various State and Central Universities for financial assistance under SAP, 2008.

 

·       Member of the i) Technical Advisory Committee of the Indian Statistical Institute, Kolkata, ii) School Board of the School of Mathematics and Computer Science/ Information Sciences, University of Hyderabad, and iii) the Board of Studies for the Dept. of Mathematics at NEHU (Shillong), Himachal Pradesh University (Shimla), BHU (Varanasi) and Indian School of Mines (Dhanbad) during the last 10 years.

 

·       Delivered Professor P.D. Verma Memorial Lecture at the Department of Mathematics, University of Rajasthan, Jaipur (August 8, 2009).

 

·       Member of the Expert Committee on Mathematical Sciences for National Eligibilty Test (NET) conducted by the CSIR.

 

·       Member of the Shyama Prasad Mukherjee Fellowship awarded by the CSIR (2010).

 

·       Professor (on deputation) at IIT Gandhinagar, for the Autumn Semester (2010).

 

·       Presided over the Inaugural Session and delivered a Technical Lecture at the Indian Society of Theoretical and Applied Mechanics Conference held at NIT, Hamirpur (HP) (Dec 18-21, 2010).

 

·       Delivered an invited key note address at an International Conference on Recent Advances in Fluid Mechanics held at Osmania University, Hyderabad (Dec 23-24, 2010).

 

·       Council Member of  the Indian Statistical Intitute,  Kolkata for 2010-12.

 

·       Member of the S.S. Bhatnagar Award Committee for 2010.

 

·       Presided over the Inaugural Session and delivered a plenary lecture on Hyperbolic PDEs at a National Conference on Mathematical Modeling and Computer Simulation organized by the Department of Applied Mathematics, Institute of Technology, Banaras Hindu University (March 25-27, 2011).

 

·       Delivered an invited plenary lecture in the 6th International Conference on Dynamical Systems and Applications held under the auspices of International Federation for Nonlinear Analysts and Clark Atlanta University – Center for Theoretical Studies of Physical Sciences at Morehouse College – Division of Science and Mathematics,

     Atlanta, Georgia, USA ( May 25-28, 2011).

 

·       Invited to deliver lectures in the 39th Summer School on ‘Advanced Problems in Mechanics’ organized by the Institute for Problems in Mechanical Engineering at Saint-Petersburg, Russia during July 1-5, 2011.

 

·       Invited to deliver Prof. Sir G.I. Taylor Memorial Lecture in the 56th Congress of the Indian Society of Theoretical and Applied Mechanics (ISTAM) to be held at NIT Surat during Dec 19-21, 2011.

 

·       Invited to deliver the Fellowship Award Lecture at the International Academy of Physical Sciences, Allahabad held at NIT Surat, Dec 2011).

 

·       Appointed Chair of the National Committee of the International Union of Theoretical and Applied Mechanics (IUTAM) for a period of four years wef from Jan 2012.

 

 

PROFESSIONAL EXPERIENCE

 

·       Sept.1972-Nov.1983 :      Lecturer in Applied Mathematics

                                                Institute of Technology ( IT ), Banaras Hindu University    

                                                 ( BHU ), Varanasi, India.

                                              

·       Nov.1983 - March 1988: Reader in Applied Mathematics,

                                                Institute of Technology, Banaras Hindu University.

                         

·       March 1988 –   till date:   Professor of Mathematics,

                                                Indian Institute of Technology, Bombay.

 

·       Nov. 1996 –  Feb. 2000:   Head, Department of Mathematics,

                                                Indian Institute of Technology, Bombay.

 

·       March 2001 – Dec.2002:  Convener of Postgraduate

                                                Academic Performance Evaluation Committee (PGAPEC),

Indian Institute of Technology, Bombay.

 

·       Jan. 2003 – Dec 2006:      Head, Department of Mathematics,

                                                Indian Institute of Technology, Bombay.

 

·       Dec 2009 – for 3-years:    Chair Professor, Department of  Mathematics

                                                Indian Institute of Technology, Bombay.

 

Research Guidance

 

Supervised 25 M.Sc. Dissertations and 12 Ph.D. Theses on topics relating to Hyperbolic Systems of Partial Differential Equations and Nonlinear waves.

 

 

Visits Abroad:

 

·       Visited the Department of Aerospace Engineering, Univ. of   Maryland, College Park, USA (July 1980 - July 1981) as a Visiting Associate Professor.

·       Visiting Member to the Applied Mathematics Group, Naval Surface Weapons Centre, Maryland, USA (Feb., 1981).

·       Visited the Mathematics Research Center Univ. of Wisconsin, Madison, USA (Feb.1981 - March 1981) as a Research Consultant.

·       Visited the Institute of Physical Sciences and Technology, University of Maryland,       USA (April, 1981).

·       Visited Department of Mathematics, George Washington University, USA (April, 1981).

 

·       Visited the Applied Mathematics Institute, Univ. of Delaware, USA, June 1981 July1981.

·       Visited the Department of Aerospace Engineering and Department of Mathematics, University of Southern California, USA (June 2004).

·       Visited the Institute of Pure and Applied Mathematics, University of California at Los Angeles (June 2004).

·       Participated in the World Congress of Nonlinear Analysts (WCNA-2004), held at

      Orlando,   Florida, USA (July-2004).

·       Visited the Department of Mechanical and Aerospace Engineering, University of

      California at Los Angeles, USA (May 2005).

 

·       Visited the Department of Mathematics, University of Texas-Pan American,

       Edinburgh, USA (May, 2005).          

 

·       Participated in the International Congress of Industrial and Applied Mathematics         

      (ICIAM- 2007),  ETH Zurich, Switzerland  (July-2007).

 

·       Participated in the American Mathematical Society meetings on NonlinearWaves held at DePaul University, Chicago, and University of Albuquerque, New Maxico, USA (Oct-Nov., 2007).

 

·       Visited the Department of Mathematics, University of Stanford, USA ( Nov, 2007-

       March , 2008).

·       Visited the Department of Mathematics, University of Texas-Pan  American, Edinburgh, USA; and participated in the Conference on Nonlinear Water Waves

with Applications to Wave-Current Interactions and Tsunamis (May, 2010).

·       Visited the Department of Astrophysical Sciences, Princeton University, New Jersey,

      USA (May, 2010).

·       Visited Morehouse College – Division of Science and Mathematics, Atlanta, Georgia, USA (May, 2011).

·       Visited Petroleum Research Center (Prof. M.Deo) and Prof. K. Chen (Mech. Engg. Dept.), University of Utah, Salt Lake City, USA  during May & June, 2011.

·       Visited Institute for Problems in Mechanical Engineering and participated in the summer school meetings held at St. Petersburg , Russia July1-5, 2011.

 

 

 

Lectures ( in Seminars/Symposia/Conferences) Delivered:

 

·       Invited Lecture, Applied Mathematics Section, Institute of Technology, Banaras Hindu University, (Nov. 2, 1985).

 

·       (Series of Invited Lectures) Indian Society for Technical Education - Winter School on Mathematical Models of Flow Phenomena in Porous Media held at the Inst. of Tech., B.H.U. (Dec. 8-22, 1986).

 

·        Invited Lecture, Department of Mathematics, Gorakhpur University, (Nov. 20, 1987).

 

·        Invited Lecture, Department of Mathematics, I.I.T. Bombay (Jan. 8, 1988).

 

·       Invited Lecture,  Indian Science Congress, Mathematics Section, Madurai University (Jan.10, 1989).

 

·       (Series of  Invited Lectures) Department of Mathematics and Statistics, Bundelkhand University, (July, 1989).

 

·       (Series of invited Lectures), Academic Staff College, Banaras Hindu University, Refresher Course in Mathematics on Analysis and Mathematical Methods for University and College Lecturers (Sept. 11 - 13, 1991).

 

·       Invited Lecture, Indian Mathematical Society - Symposium on "Recent advances in Nonlinear Analysis", held at the Institute of Technology, B.H.U., Varanasi (March 23, 1993).

 

·       (Series of Invited Lectures) Department of Mathematics and statistics, R.D.University, Jabalpur (Nov. 1994).

 

·       (Series of invited Lectures) Guest Lectures, Winter School in the Chemical Applications of Statistical Mechanics, Department of Chemistry and the RSIC, I.I.T. Bombay (Dec.10, 1994).

 

·       Guest Lecture, Workshop in Mathematics, Department of Mathematics, IIT Bombay  (Nov. 1995).

 

·       Invited Lecture, Department of Mathematics, Central University of Hyderabad, (Sept.1996)

 

·       Invited Lecture, Academic Staff College, Department of Mathematics, Bombay University (Oct.-Nov. 1996)

 

·       Invited Lecture, Department of Mathematics, I.I.Sc. Bangalore ( July 31, 1997)

 

·       Invited Lecture, Seventh Annual Conference of Vijnana Parishad of India, Harcourt Butler Technological Institute,Kanpur (Oct.25, 1997)

 

·       Invited Lecture, Department of Mathematics, IIT Bombay (April 7, 1998)

 

·       Invited Lecture, International Conference on Scientific Computing and modeling, S.N. Bose Centre for Basic Sciences, Calcutta (July 10, 1998).

 

·       Invited Lecture, International Conference of the Academy of Physical Sciences held at the University of Allahabad (December 1999).

 

·       Invited Lecture, Joint 9th National Conference of Vijnana Parishad of India onApplied and Industrial Mathematics and 5th Annual Conference of Indian Society of Information Theory and Applications held at NSIT, New Delhi (February 2002).

 

·       Invited Lecture, National Seminar on Recent Advances in Fluid Mechanics held at Gulbarga University, Karnatak (September 12, 2002).

 

·       Popular Lecture, Mathematics Association of I.I.T. Bombay and Bombay Mathematical Colloquium (under the Popular Lecture Series in Mathematics) held at the Department of Mathematics, IIT Bombay (October 25, 2002).

 

·       Invited Lecture, National Seminar on Current Trends in Mathematics held at the University of Allahabad (Nov.10, 2002).

 

·       Invited Lecture, Department of Mathematics, Banaras Hindu Uni-versity (June 13, 2003)

 

·       Invited Lecture, International Conference on Non-linear wave phenol-menon, IISc Bangalore (January 5, 2004).

 

·       Key Note Address, National Conference on Information Technology, Operations Research and Computing held at Dr. B.R. Ambedkar University, Agra (10th April 2004).

 

·       Invited Lecture, delivered at the Department of Mathematics, Univesity of Southern California (June 25, 2004).

 

·       Invited Lecture,  Fourth World Congress of Nonlinear Analysts – 2004, organized by the Florida Institute of Technology, held at Orlando, Florida (July 3, 2004)

 

·       Inaugural Address, Workshop on Optical Communication, organized by the Department of Electronics and Telecommunication Engineering, VES Institute of Technology, Mumbai (August 8, 2004).

 

·       Invited Lecture, International Conference on Mathematical Fluid Dynamics held at the Department of Mathematics and Statistics, University of Hyderabad, Hyderabad (December 3, 2004).

 

·       Invited Lecutre, delivered at a research conference on New Perspectives for Boundary Value Problems and their asymptotics held at the University of Texas-Pan American, USA (May 17, 2005).

 

·       Invited Lecture,  delivered  at  an International Conference on "Recent Advances in Heat Transfer", held at Karunya Institute of Technolgy (Deemed University), Coimbatore, during Sept 21-22, 2006.

 

·       Key note Addresss, delivered at ISTE Training Programme on Application Orientation in Engineering Mathematics and Mathematical Modelling, held at National Institute of Technology, Surat on Dec 26,2006.

 

·       Invited Lecture, delivered to the Applied Mathematics and Physics Unit of  ISI Calcutta (April, 2006).

 

·       Invited Lecture, delivered at Bhaskracharya Pratisthana, Pune University (Nov, 2006).

 

·       Invited Lecture, delivered at ISC held at Annamalai University (Jan, 2007).

 

·       Invited Lecture, delivered at the AMS meeting held at DePaul University, Chicago, USA (Oct, 2007).

 

·       Invited Talk, delivered at the AMS meeting held at the Univ of Albuquerque, New Maxico, USA (Oct, 2007).

 

·       Invited Lecture, delivered at the Department of Mathematics, Stanford University, USA (Jan, 2008).

 

·       Invited Lecture, delivered to the faculty and PG students under the Distinguished Colloquium Series at North Maharashtra University (March, 2008).

 

·       Invited Lecture, delivered at the National Seminar on Analysis, Differential Equations and Applications, held at M.S. University, Baroda (Jan, 2009).

 

·       Invited Lecture, delivered at the Seminar meeting of Hyperbolic Systems of PDEs  held at IIT Bombay from 20-23 Nov., 2009.

 

·       Invited Lecture, delivered at the Indian Society of Theoretical and Applied Mechanics (ISTAM-2009) held at NSIT, New Delhi from 18-21 Dec. 2009, and chaired a Technical Session on Mechanics of Fluids.

 

·       Invited Lecture, delivered at the 76th Annual Conference of the Indian Mathematical Society held at NIT Surat from 28-31 Dec. 2010.

 

·       Invited Talk, delivered at a research conference on Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis held at the University of Texas-Pan American, Texas, USA  during May 17-21, 2010.

 

·       Invited plenary talk at an International conference held in Atlanta, Georgia , May 25- 28, 2011.

 

·       Invited to deliver two lectures  on hyperbolic waves and Riemann’s problem in gasdynamics in the summer school held in Petersburg in Russia, July 1-5, 2011.

 

·       Invited to deliver a series of lectures  on PDEs to Univ/College Teachers and Research Scholars organized by the Dept of Appl Maths at S.V. National Institute

      of Technology, Surat during August 2011.

         

 

                                                                        

Member of the Organising Committee for the Following Conferences:

 

·       Seminar meetings of hyperbolic systems of PDEs held at the Department of Mathematics, IIT Bombay (Nov 20-23, 2009).

·       National Symposium in Mathematics (NSM-2010) held at IIT Gandhinagar (Feb 26-28, 2010).

 

Membership of Professional Societies/Institute

·        American Mathematical Society.

·        Indian Society of Theoretical and Applied Mechanics.

·        Indian Science Congress Association.

·        The National Academy of Sciences, India.

·        Indian National Science Academy

·        Indian Mathematical Society.

 

 

Book/Monograph Authored

 

V. D. Sharma, Quasilinear Hyperbolic Systems, Compressible Flows, and Waves, Monographs and Surveys in Pure and Applied Mathematics, CHAPMAN & HALL/ CRC, New York, 2010

 

 

RESEARCH  PUBLICATIONS ( Selected ones)

 

1.     V.D.SHARMA and R.RAM, "The vorticity jump across a stationary magnetohydro-dynamic discontinuity", ZAMP (Switz.), 22 (1971) pp. 1126-1134.

 

 

2.     V.D. SHARMA,” Transition through the intersection of several shock surfaces in magnetogasdynamics", Tensor (Japan), 23 (1972) pp. 330-332.

 

3.     R. RAM and V.D. SHARMA, "Oblique regular reflection of a shock wave in a plane flow of an ideal dissociating gas in the presence of a  transverse magnetic field", J. Appl. Math. Mech. (PMM J., Russia), 37 (1973) pp. 547-552.

 

4.     V.D. SHARMA,  "A non-elliptic solution of the  Lane-Emden equation for  index  n = 5", Phys. Lett. (U.K./ Netherlands), 60A (1977) pp. 381-382.

 

5.     R.S. SINGH and V.D. SHARMA, "Growth of discontinuities in a nonequilibrium flow of a relaxing gas", Q. Jl. Mech. Appl. Math.  (UK), 32 (1979) pp. 331-338.

 

6.     R.S. SINGH and V.D. SHARMA, "Propagation of discontinuities along bicharacteristic in magnetohydrodynamics", Phys. Fluids (USA), 23 (1980) pp. 648-651.

 

 

7.     V.D. SHARMA, "A note on the propagation of sonic waves in a radiating gas", ZAMM (Germany), 60 (1980) pp. 116-117.

 

8.     V.D. SHARMA, "Non-equilibrium flow of an ideal dissociating gas behind an attached shock wave", Aeronautical Quart. (UK), 31 (1980)  pp. 238-251.

 

9.     V.D. SHARMA, R. SHYAM and V.V. MENON, "Behaviour of finite amplitude waves in a radiating gas ", ZAMM (Germany), 61 (1981) pp. 443-448.

 

10.  V.D. SHARMA, "Propagation of discontinuities in magnetohydrodynamics", Phys. Fluids (USA), 24 (1981) pp. 1386-1387.

 

11.  V.D. SHARMA, "Weak discontinuities in a dissociating gas", Acta Mechanica (Springer Verlag), 38 (1981) pp. 249-256.

 

12.  V.D. SHARMA, "Correction to a paper on sonic discontinuities in a relaxing gas", Appl. Sci. Res. (Netherlands), 36 (1981) pp. 357-359.

 

13.  V.D. SHARMA and V.V. MENON, "Further comments on the behaviour of acceleration waves of arbitrary shape", J. Math. Phys. (USA), 22 (1981) pp. 683-684.

 

14.  V.V. MENON and V.D. SHARMA, "Characteristic wave fronts in magnetohydro-dynamics", J. Math. Anal. Appl. (USA), 81 (1981) pp. 189-203.

 

15.  V.D. SHARMA and R. SHYAM, "Growth and decay of weak discontinuities in radiative gasdynamics", Acta Astronautica (Pergamon Press, USA), 8 (1981) pp.31-45.

 

16.  R.S. SINGH and V.D. SHARMA, "Amplification of finite amplitude waves in a radiating gas", AIAA Journal (USA), 19 (1981) pp. 252-254.

 

17.  R. SHYAM, V.D. SHARMA and V.V. MENON,  “Evolution of discontinuity at a disturbance wave-head in radiating gas”, AIAA Journal (USA), 19 (1981) pp. 410-412.

 

18.  R. SHYAM, J. SHARMA and V.D. SHARMA, “Growth and decay of weak waves in radiative magnetogasdynamics”, AIAA Journal (USA), 19 (1981) pp. 1246-1248.

 

19.  V.D. SHARMA, "Propagation of weak MHD waves in steady hypersonic flows with radiation", AIAA Journal (U.S.A) 19 (1981) pp. 1609-1610.

 

20.  R.S.SINGH and V.D.SHARMA, "On the propagation of weak discontinuities along bicharacteristics in a radiating gas", J. Appl. Mech. (Trans. ASME, USA), 48 (1981) pp. 737-742.

 

21.  R. SHYAM, V.D. SHARMA and  V.V. MENON, “Nonlinear breaking of wave fronts in a vibrationally relaxing  gas”, J. Appl. Mech. (Trans. ASME, USA), 49 (1982) pp. 10-12.

 

22.  R. SHYAM and V.D. SHARMA, "Nonlinear breaking of waves in an electrically conducting and radiating gas", ZAMP (Switz.), 33 (1982) pp. 772-782.

 

23.  J. SHARMA, R. SHYAM  and V.D. SHARMA, “Behaviour of discontinuity at the wave-head propagating through a relaxing gas”, Acta Mechanica (Springer Verlag), 43 (1982) pp. 27-35.

 

24.  V.D. SHARMA, "On the breakdown of acceleration waves in a vibrationally relaxing gas", Acta Mechanica (Springer Verlag), 44 (1982) pp. 121-126.

 

25.  V.D. SHARMA, "Amplification of discontinuities in a radiating gas", AIAA Journal (USA),20 (1982) pp. 1310-1312.

 

26.  V.V. MENON, V.D. SHARMA and A. JEFFREY, "On the general behaviour of acceleration waves", Applicable Analysis (USA), 16 (1983)  pp. 101-120.

 

27.  V.D. SHARMA, "Growth of discontinuities in relativistic fluids", Int. J. Theor. Phys. (USA), 22 (1983) pp. 83-86.

 

28.  S.I. PAI, V.D. SHARMA and S. MENON, "Time evolution of discontinuities at the wave head in a non equilibrium two phase flow of a mixture of gas and dusty particles", Acta Mechanica  (Springer Verlag), 46 (1983) pp. 1-13.

 

29.  V.V. MENON and V.D. SHARMA, "Evolution of weak discontinuities in  the unsteady flow of thermally conducting dissociating gases", AIAA Journal (USA), 21 (1983) pp. 1479-1480.

 

30.  V.D. SHARMA and R. SHYAM, "A note concerning the corrigendum to the nonuniform propagation of weak discontinuities in magnetogasdynamics", Arch. Ratl. Mech. Anal. (USA), 26 (1984) p. 211.

 

 

31.  V.D. SHARMA, "Development of jump discontinuities in radiative magnetogas-dynamics", Int. J. Engng Sci. (USA), 24 (1986) pp.  813-818.

 

 

32.  V.D. SHARMA, R. SHYAM and L.P. SINGH, "Shock formation distance in a two dimensional steady flow over a concave corner in radiative magnetogasdynamics", ZAMM (Germany), 67 (1987) pp. 87-92.

 

33.  V.D. SHARMA, "On the evolution of compression pulses in a steady magnetohydro- dynamic flow over a concave wall", Q. Jl. Mech. Appl. Math. (UK), 40 (1987), pp. 527-537.

 

34.  V.D. SHARMA, L.P .SINGH and R. RAM, "The progressive wave approach analyzing the decay of a sawtooth profile in magnetogasdynamics",  Phys. Fluids (USA), 30 (1987)  pp. 1572-1574.

 

35.  V.D. SHARMA, R. RAM and P.L. SACHDEV, "Uniformly valid analytical solution to the  problem of decaying shock wave", J. Fluid Mech. (UK), 185 (1987) pp.153-170.

 

36.  V.D. SHARMA, "Transport of Lipschitz discontinuities along bicharacteristics in RMGD", ZAMM (Germany), 68 (1988) pp.56-58.

 

37.  N. GUPTA, R. RAM and V.D. SHARMA, "On the geometrical and physical properties of a plane magnetogasdynamic flow", ZAMP (Switz.), 39 (1988) pp. 468-477.

 

38.  L.P. SINGH, V.D. SHARMA and R. RAM, "Flow pattern induced by piston impulsively moving in a perfectly conducting inviscid radiating gas", Phys. Fluids B (USA), 1 (1989) pp. 692-699.

 

39.  V.D. SHARMA, R.R. SHARMA, B.D. PANDEY and N. GUPTA, "Nonlinear analysis of a traffic flow", ZAMP (Switz.), 40 (1989) pp. 828-837.

 

40.  L.P. SINGH, V.D. SHARMA and R. RAM, "Radiating gas flow past a slender body with an attached shock wave", ZAMM (Germany), 69 (1989) pp. 299-303.

 

41.  A. KUMAR, V.D. SHARMA and B.D. PANDEY, "On the formation of secondary shocks in a self similar magnetogasdynamic flow", Canadian J. Phys., 68 (1990) pp. 1203-1206.

 

42.  N. GUPTA, V.D. SHARMA, B.D. PANDEY and R.R. SHARMA, "Progressive wave analysis describing wave motion in radiative magnetogasdynamics", J. Thermophysics (AIAA, USA), 5 (1991) pp.  21-25.

 

43.  V.D. SHARMA, R.R. SHARMA, B.D. PANDEY and N. GUPTA, "Nonlinear wave  propagation in a hot electron plasma", Acta Mechanica. (Springer Verlag), 88 (1991), pp. 141-152.

 

44.  N. GUPTA, V.D. SHARMA, R.R. SHARMA and B.D. PANDEY, "Propagation of rapid pulses through a two phase mixture of gas and dust particles", Int. J. Engng Sci. (USA), 30 (1992) pp. 263-272.

 

45.  V.D. SHARMA, B.D. PANDEY and R.R. SHARMA, "Weak discontinuities in non equilibrium flow of a dusty gas", Acta Mechanica. (Springer Verlag), 99 (1993), pp. 103-111.

 

46.  R.R. SHARMA, V.D. SHARMA, B.D. PANDEY and P. SHUKLA, "Approximate and exact solutions of a gaseous flow with shocks", Q. Jl. Mech. Appl. Math. (UK), 46 (1993) pp. 141-152.

 

47.  V.D. SHARMA, R.R. SHARMA, B.D. PANDEY and N. GUPTA, "Wavefront analysis of weak nonlinear waves in a 2 - phase flow of gas and dust particles", ZAMP (Switz.), 44 (1993) pp.  799-811.

 

48.  Ch. RADHA, V.D. SHARMA and A. JEFFREY, "On interaction of shock waves with weak discontinuities", Applicable Analalysis (USA), 50 (1993) pp. 145-166.

 

49.  Ch. RADHA and V.D. SHARMA, "Imploding cylindrical shock in a perfectly conducting and radiating gas", Phys. Fluids B (USA), 5 (1993) pp. 4287-4294.

 

50.  V.D. SHARMA and Ch. RADHA, "On one dimensional planar and nonplanar shock waves in a relaxing gas", Phys. Fluids (USA), 6 (1994) pp. 2177-2190.

 

51.  V.D. SHARMA and Ch. RADHA, "Similarity solutions for converging shocks in a relaxing gas", Int. J. Engng Sci. (USA), 33 (1995) pp. 535-553.

 

52.  Ch. RADHA and V.D. SHARMA, "Propagation and interaction of waves in a relaxing gas", Philosophical Transactions of the Royal Society London (UK), 352A (1995) pp. 169-195.

 

53.  V.D. SHARMA and Ch. RADHA, "Three dimensional shock wave propagation in an ideal gas", International Journal of Nonlinear Mechanics (USA), 30 (1995) pp. 305-322.

 

54.  Ch. RADHA and V.D. SHARMA, "High and low frequency small amplitude disturbances in a perfectly conducting and radiating gas", Int. J. Engng Sci. (USA), 33 (1995) pp.  2001-2010.

 

55.  V.D. SHARMA and Ch. RADHA, “Strong converging shock waves in a radiating gas”, ZAMM (Germany), 75 (1995) pp. 847-859.

 

56.  J. JENA and V.D.SHARMA, "Lie transformation group solutions of nonlinear equations describing viscoelastic materials, Int. J.  Engng Sci, (USA), 35 (1997) pp. 1033-1044.

 

57.  J. JENA and V.D. SHARMA, "Self-similar shocks in a dusty gas", International Journal of Nonlinear Mechanics (USA), 34 (1999) pp. 313-327.

 

58.  Ch. RADHA, V.D. SHARMA and A. JEFFERY, “An approximate analytical method for describing the kinematics of a bore over a sloping beach”, Applicable Analysis (USA), 81 (2002), pp. 867-892.

 

59.  G.K. SRINIVASAN and V.D. SHARMA, “Modulation equations of weakly nonlinear geometrical optics in media exhibiting mixed nonlinearity”, Studies in Applied Mathematics (USA), 110 (2003), pp. 103-122.

 

60.  G.K. SRINIVASAN and V.D. SHARMA, “A note on the jump conditions for systems of conservation laws”, Studies in Applied Mathematics (MIT, USA), 110 (2003), pp. 391-396.

 

61.  G.K. SRINIVASAN and V.D. SHARMA, “On weakly non-linear waves in media exhibiting mixed non-linearity”, J. Math. Anal. Appl. (Academic press, USA), 285 (2003), pp.629-641.

 

62.  G. MADHUMITA and V.D. SHARMA, “Propagation of strong converging shock waves in a gas of variable density”, Journal of Engineering Mathematics (Kluwer Academic, The Netherlands), 46 (2003), pp. 55-68.

 

63.  V.D. SHARMA, G. MADHUMITA, and S.A.V. MANICKAM, “Dissipative waves in a relaxing gas exhibiting mixed nonlinearity”, Nonlinear Dynamics (Kluwer Academic, The Netherlands), 33 (2003), pp. 283-299.

 

64.  S.A.V. MANICKAM, Ch. RADHA and V.D. SHARMA, “Far field behavior of waves”, Applied Numerical Mathematics (Elsevier, The Netherlands), 45 (2003), pp. 293-301.

 

65.  G.K. SRINIVASAN and V.D. SHARMA, “Energy dissipated across shocks in weak solutions of conservation laws”, Studies in Applied Mathematics (MIT, USA), 112 (2004), pp. 281-291.

 

66.  G.K. SRINIVASAN and V.D. SHARMA, “Implosion time for converging  cylindrical and spherical shells”, Z. angew. Math. Phys. (ZAMP); (Birkhauser, Switzerland), 55(2004), pp. 974-982.

 

67.  G. MADHUMITA and V.D. SHARMA, “Imploding cylindrical and spherical shock waves in a non-ideal medium”, Journal of Hyperbolic Differential Equations (World Scientific; New Jersey, London) 1(2004), pp. 521-530.

 

68.  V.D.SHARMA and G.K.SRINIVASAN, “Wave interactions in a non equilibrium flow”, Int. Journal of Non-linear Mechanics (USA), 40 (2005), pp. 1031-1040.

 

69.  V.D. SHARMA and G. MADHUMITA, “Nonlinear wave propagation through a stratified atmosphere”, J. Math. Anal. Appl.  (Elsevier, USA), 311 (2005), pp. 13-22.

 

70.  V.D. SHARMA and R. ARORA, “Similarity solutions for strong shocks in an ideal gas”, Studies in Applied Mathematics (MIT, USA), 114 (2005), pp.375-394.

 

71.  R. ARORA and V.D.SHARMA, “Converging of strong shock waves in a Van der Waals gas” SIAM J. Appl. Math. (USA), 66(2006), pp. 1825-1827.

 

72.  G.K. SRINIVASAN, V.D. SHARMA and B.S. DESALE, “An integrable system of ODE reductions of the stratified Boussinesq equations”, Compt. Math. Appl. (Elsevier), 53 (2007), pp. 296-304.

 

73.  M. PANDEY and V.D. SHARMA, “Interaction of a characteristic shock with a weak discontinuity in a non-ideal gas”, Wave Motion (Elsevier), 44(2007), pp. 346-354.

 

74.  V.D. SHARMA and R. RADHA, “Exact solutions of Euler Equations of ideal gasdynamics via Lie group analysis” ZAMP (Birkhauser, Switz.), 59(2008), pp. 1029-1038.

 

75.  M. PANDEY, R. RADHA and V.D. SHARMA, “Symmetry analysis and exact olutions of magnetogasdynamic equations, Quart. J. Mech. Appl. Math. (Oxford Univ Press, UK), 61(2008), pp. 291-310.

 

76.  T.R. SEKHAR and V.D. SHARMA, “On certain exact solutions of 3-dimensional Euler equations using symmetry analysis”, Appl. Math. Comput. (Elsevier), 196(2008), pp. 147-157.

 

77.  T.R. SEKHAR and V.D. SHARMA, “Interaction of shallow water waves”, Studies in Applied Mathematics (MIT, USA), 121(2008), pp. 1-25.

 

78.  J. JENA and V.D. SHARMA, “Interaction of a characteristic shock with a weak discontinuity in a relaxing gas", Journal of Engineering Mathematics (Springer) Vol.60 (2008), no. 1, 43--53.

 

79.  M. PANDEY and V.D. SHARMA, “Kinematics of a shock of arbitrary strength in a non-ideal gas”, Quarterly of Applied Mathematics (USA), 67(2009), pp. 401-418.

 

80.   M. PANDEY, B.D. PANDEY and V.D. SHARMA, “Symmetry groups and similarity solutions for the system of equations for a viscous compressible fluid”, Appl. Math. Comput. (Elsevier), 215(2009), pp. 681-685.

 

81.  T.R. SEKHAR and V.D. SHARMA “Evolution of weak discontinuities in shallow water equations”, Applied  Mathematics  Letters ( Elsevier), 23(2010), pp. 327-330.

 

82.  T.R. SEKHAR and V.D. SHARMA, “Riemann problem and elementary wave interactions in isentropic magnetogasdynamics”, Nonlinear Anal. Real World Appl.

     (Elsevier) 11 (2010),   pp. 619-636.

 

83.  T.R. SEKHAR and V.D. SHARMA, “Wave interactions for the pressure gradient equations”, Methods and Applications of Analysis (USA), 17 (2010), pp. 165-178.

 

84.  Ch. RADHA  and  V.D. SHARMA, “Interaction of a Weak Discontinuity with Elementary Waves of Riemann problem” to appear in ‘Journal of Mathematical Physics’ (USA) – 2011.