RESEARCH PUBLICATIONS OF Prof..V. D. SHARMA (I.I.T.
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 (
3.
V.D. SHARMA, Transition through the intersection of
several shock surfaces in magnetogasdynamics", Tensor (
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.,
5.
V.D. SHARMA,
"A non-elliptic solution of the
Lane-Emden equation for
indexn = 5", Phys. Lett. (
6.
R.S. SINGH and V.D. SHARMA, "Growth of
discontinuities in a nonequilibrium flow of a relaxing gas", Q. Jl. Mech. Appl. Math.(
7.
R.S. SINGH and V.D. SHARMA, "Propagation of
discontinuities along bicharacteristic in magnetohydrodynamics", Phys. Fluids (
8.
V.D. SHARMA and R. SHYAM, "The onset of converging
and diverging shock waves in a non equilibrium gas flow", Acta Astronautica (
9.
V.D. SHARMA, "A note on the propagation of sonic
waves in a radiating gas", ZAMM (
10.
V.D.
SHARMA, "Growth and decay of weak discontinuities in a nonequilibrium flow
of an ideal dissociating gas",
Arch. Mech. (
11.
V.D.
SHARMA, "Non-equilibrium flow of an ideal dissociating gas behind an
attached shock wave", Aeronautical
Quart. (
12.
V.D.
SHARMA, R. SHYAM and V.V. MENON, "Behaviour of finite amplitude waves in a
radiating gas ", ZAMM (
13.
V.D.
SHARMA, "Propagation of discontinuities in magnetohydrodynamics", Phys. Fluids (
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. (
16.
V.D.
SHARMA and V.V. MENON, "Further comments on the behaviour of acceleration
waves of arbitrary shape", J. Math.
Phys. (
17.
V.V.
MENON and V.D. SHARMA, "Characteristic wave fronts in
magnetohydro-dynamics", J. Math.
Anal. Appl. (
18.
V.D.
SHARMA and R. SHYAM, "Growth and decay of weak discontinuities in
radiative gasdynamics", Acta
Astronautica (
19.
R.S.
SINGH and V.D. SHARMA, "Amplification of finite amplitude waves in a
radiating gas", AIAA Journal (
20.
R.
SHYAM, V.D. SHARMA and V.V. MENON, "Evolution of discontinuity at a disturbance wave-head in radiating
gas", AIAA Journal
(
21.
R.
SHYAM, J. SHARMA and V.D. SHARMA, Growth and decay of weak waves in radiative
magnetogasdynamics, AIAA Journal (
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.
24.
R.
SHYAM, V.D. SHARMA and V.V. MENON,
Nonlinear breaking of wave fronts in a vibrationally relaxing gas, J.
Appl. Mech. (Trans.
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 (
29.
V.V.
MENON, V.D. SHARMA and A. JEFFREY, "On the general behaviour of
acceleration waves", Applicable
Analysis (
30.
V.D.
SHARMA, "Growth of discontinuities in relativistic fluids", Int. J. Theor. Phys. (
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
(
33.
V.D.
SHARMA and R. SHYAM, "On flows with vibrational relaxation behind an
attached shock wave", Acta
Astronautica (
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. (
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. (
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 (
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. (
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 (
40.
V.D.
SHARMA, R. RAM and P.L. SACHDEV, "An analytical solution to the problem of decaying shock wave", J. Fluid Mech. (
41.
V.D.
SHARMA, "Transport of Lipschitz discontinuities along bicharacteristics in
RMGD", ZAMM (
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 (
44.
V.D.
SHARMA, R.R. SHARMA, B.D. PANDEY and
45.
L.P.
SINGH, V.D. SHARMA and R. RAM, "Radiating gas flow past a slender body
with an attached shock wave", ZAMM
(
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
(
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. (
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. (
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 (
54.
Ch.
RADHA and V.D. SHARMA, "Imploding cylindrical shock in a perfectly
conducting and radiating gas", Phys.
Fluids B (
55.
V.D.
SHARMA and Ch. RADHA, "On one dimensional planar and nonplanar shock waves
in a relaxing gas", Phys. Fluids
(
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 (
58.
V.D.
SHARMA and Ch. RADHA, "Three dimensional shock wave propagation in an
ideal gas", International Journal
of Nonlinear Mechanics (
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. (
60.
V.D.
SHARMA and Ch. RADHA, Strong converging shock waves in a radiating gas, ZAMM
(
61.
J.
JENA and V.D.SHARMA, "Lie transformation group solutions of nonlinear
equations describing viscoelastic materials, Int. J. Engng Sci, (
62.
J.
63.
J.
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 (
65.
G.K.
SRINIVASAN and V.D. SHARMA, Modulation equations of weakly nonlinear
geometrical optics in media exhibiting mixed nonlinearity, Studies in
Applied Mathematics (
66.
G.K.
SRINIVASAN and V.D. SHARMA, A note on the jump conditions for systems of
conservation laws, Studies in Applied Mathematics (
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,
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 (
72.
G.K.
SRINIVASAN andV.D. SHARMA,
Implosion time for converging
cylindrical and
spherical shells, Z. angew.Math.Phys.
(ZAMP);
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;
74.
V.D.SHARMA
and G.K.SRINIVASAN, Wave interactions in a non equilibrium flow, Int.
Journal of Non-linear Mechanics (
75.
V.D.
SHARMA and G. MADHUMITA, Nonlinear wave propagation through a stratified atmosphere,
J. Math. Anal. Appl. (
76.
V.D.
SHARMA and RAJAN ARORA, Similarity solutions for strong shocks in an ideal
gas, Studies in Applied Mathematics (
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 (
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.