RESEARCH PUBLICATIONS OF Prof..V. D. SHARMA (I.I.T. BOMBAY)

 

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

 

2.      R.RAM and V.D.SHARMA, "Regular reflection of a shock wave from a rigid wall in a steady plane flow of an ideal dissociating gas", Tensor (Japan), 26 (1972) pp. 185-190.

 

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

 

4.      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.

 

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

 

6.      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.

 

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

 

8.      V.D. SHARMA and R. SHYAM, "The onset of converging and diverging shock waves in a non equilibrium gas flow", Acta Astronautica (Pergamon Press, USA/France), 17 (1980) pp.269-275.

 

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

 

10.  V.D. SHARMA, "Growth and decay of weak discontinuities in a nonequilibrium flow of an ideal dissociating gas", Arch. Mech. (Poland), 32 (1980) pp. 475-480.

 

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

 

12.  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.

 

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

 

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

 

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

 

16.  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.

 

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

 

18.  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.

 

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

 

20.  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.

 

21.  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.

 

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

 

23.  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.

 

24.  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.

 

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

 

26.  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.

 

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

 

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

 

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

 

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

 

31.  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.

 

32.  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.

 

33.  V.D. SHARMA and R. SHYAM, "On flows with vibrational relaxation behind an attached shock wave", Acta Astronautica (Pergamon Press, USA), 11 (1984) pp. 91-101.

 

34.  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.

 

35.  V.D. SHARMA and R. SHYAM, "Regular reflection of a shock wave from a rigid wall in a steady plane flow of a vibrationally relaxing gas", Indian J. Pure Appl. Math., 15 (1984) pp. 15-22.

 

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

 

 

37.  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.

 

38.  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.

 

39.  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.

 

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

 

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

 

42.  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.

 

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

 

44.  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.

 

45.  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.

 

46.  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.

 

47.  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.

 

48.  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.

 

49.  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.

 

50.  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.

 

51.  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.

 

52.  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.

 

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

 

54.  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.

 

55.  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.

 

56.  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.

 

57.  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.

 

58.  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.

 

59.  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. 2010.

 

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

 

61.  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.

 

62.  J. JENA and V.D. SHARMA, "Backlund transformations for a nonlinear evolution equation", Il Nuovo Cimento (Italy), 113B (1998) pp. 213-219.

 

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

 

64.  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.

 

65.  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.

 

66.  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.

 

67.  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.

 

68.  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.

 

69.  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.

 

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

 

71.  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.

 

72.  G.K. SRINIVASAN andV.D. SHARMA, Implosion time for converging cylindrical and spherical shells, Z. angew.Math.Phys. (ZAMP); Birkhauser, Switzerland), 55(3004), pp. 974-982.

 

73.  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.

 

74.  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.

 

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

 

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

 

77.  RAJAN ARORA and V.D. SHARMA, Converging of strong shock waves in a Van der Waals gas, SIAM J. Appl. Math. (USA), 66 (2006), pp. 1825-1837.

 

78.  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), Vol. 53 (2007), pp.296-304.

 

79.  MANOJ PANDEY and V.D. SHARMA, Interaction of a characteristic shock with a weak discntinuity in a non-ideal gas, Wave Motion (Elsevier, USA), 44 (2007), pp. 346-354.

 

80.  T. RAJA SEKHAR and V.D. SHARMA, On certain exact solutions for 3-dimensional Euler equations using symmetry analysis, Appl. Math. Comput. (Elsevier), 196 (2008), pp. 147-157.

 

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

 

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

 

83.  MANOJ PANDEY, R. RADHA and V.D. SHARMA, Similarity analysis and exact solutions of Magnetogasdynamic equations, Quart. J. Mech. Appl. Math. (UK),61(2008), pp.291-310.

 

84.  MANOJ PANDEY and V.D. SHARMA, Kinematics of a shock wave of arbitrary strength in a non-ideal gas, Quart. Appl. Math. (USA), 67(2009), pp.401-418.

 

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