LIST OF IMPORTANT PUBLICATIONS
RESEARCH
PAPERS:
Sachdev P.L. and Phoolan Prasad, A numerical
procedure for shock problem using artificial heat conduction, J.Phys. Soc., Japan, 21,
1966, 2715-24.
Phoolan Prasad, Nonlinear waves in radiation gas
dynamics, J. Ind. Inst. of Sci. 49, 1967, 148-178.
Phoolan Prasad, Sachdev P.L., Spherical piston problem in water J.Fluid Mech., 39,
1969, 587-600.
Phoolan Prasad, A class of one dimensional
steady state flows and general shock structure problem in
radiation-gas-dynamics, Quart. J. Mech. and Appl.
Maths., 22, 1969, 333-353.
Bhatnagar P.L. and Phoolan Prasad, Study of
self-similar and steady flows near singularities, Part I, Proc. Roy. Soc.,
London, A315, 1970, 569-584
Bhatnagar P.L. and Phoolan Prasad, Study of the
self-similar and steady flows near singularities, Part II-a case of multiple
characteristic velocity, Proc. Roy. Soc., London, A322, 1971, 45-62.
Phoolan Prasad, Nonlinear wave propagation on an
arbitrary steady transonic flow, J.Fluid Mech., 57,
1973, 721-737.
Phoolan Prasad, Approximation of the
perturbation equations of a quasilinear hyperbolic
system in the neighbourhood of a bicharacteristic,
J. of Mathematical Analysis and
Applications, 50, 1975, 470-482.
Phoolan Prasad and Krishnan E.V., Nonlinear wave
propagation in a two-dimensional steady transonic flow, J.of
Fluid Mech., 82, 1977, 17-28.
Phoolan Prasad and Renuka Ravindran, A theory of
nonlinear waves in multi-dimensions with special reference to
surface-water-waves, J.Inst. Math. and Applcs., 20, 1977, 9-20.
Phoolan Prasad and Krishnan E.V., On multi-dimensional packets of surface waves, J. of
Physical Soc. of Japan, 44, 1978,
1028-1032.
Renuka Ravindran and
Phoolan Prasad, A mathematical analysis of nonlinear waves in a fluid-filled visco-elastic tube, Acta Mechanica, 31, 1979, 253-280.
Phoolan Prasad, Kinematics of a
multi-dimensional shock of arbitrary strength in an ideal gas, Acta Mechanica, 45, 1982,
163-176.
Kalyanasundram N., Renuka Ravindran and Phoolan Prasad, Coupled amplitude theory of
nonlinear
surface acoustic waves, J. Acoustical Society of
America, 72, 1982, 488-93.
Srinivasan, R. and Phoolan Prasad, On the
propagation of a multi-dimensional shock of arbitrary strength, Proc. Indian
Acad. Sciences, Mathematical Sciences, 1985, 49, 27 - 42.
Phoolan Prasad, Waves at the interface of a
clear liquid and a mixture in a two phase flow, J. Fluid Mech,
150, 417 - 426, 1985.
Phoolan Prasad, Extension of Huyghen's
construction of a wavefront to a non-linear wave-front and a
shock-front, Current Science, 56,
1987, 50-54.
Renuka Ravindran and
Phoolan Prasad, A new theory of shock dynamics, Part-I: analytic considerations
Applied Mathematics Letters, 1990, 3,
77 - 81.
Phoolan Prasad and Renuka
Ravindran, A new theory of shock dynamics, Part - II
numerical solution Applied Mathematics Letters, 1990, 3,
107 - 109.
Chandrashekar, D and Phoolan Prasd, Transonic flow of a fluid with positive and negative
non-linearity, Physics of Fluids, 1991, A3,
427 - 438.
Phoolan Prasad, Renuka Ravindran, and Morton,
K.W., - Conservation forms of the nonlinear ray equations. (Accepted for
publication in European Journal of Applied Mathematics, but the revised version
could not be prepared), Tech. Report No.2, 1992, Dept. Math, Indian Institute
of Science, Bangalore.
Renuka Ravindran and
Phoolan Prasad, On infinite system of compatibility
conditions along a shock ray, Q.J.Appl.Math. and Mech., 1993, 46,
131-140.
Phoolan Prasad, A nonlinear ray theory, Wave
Motion, 1994, 20, 21-31, also Berichte der Arbeitsgruppe
Technomathematik, No.101, 1994, Universitat
Kaiserslantern, Germany.
Lazarev, M.P., Phoolan Prasad
and Singh S.K., Approximate solution of the one-dimensional piston problem ZAMP
1995, 46, 752-771.
Phoolan Prasad, Formation and
Propagation of Singularities on a nonlinear wavefront
and shockfront. J.Indian Institute of Science,
Bangalore (Special volume of
Fluid Mechanics) 1995, 75,
517-535.
Lazarev, M.P., Renuka Ravindran and Phoolan Prasad, Shock propagation in gas
dynamics: explicit form of higher order compatibility conditions. Acta Mechanica, 1998, 126, 139-155.
Phoolan Prasad and Sangeeta K., Numerical simulation of converging nonlinear wavefronts.
J. Fluid Mechanics, 1999, 385, 1-20.
Phoolan Prasad, An asymptotic derivation of
weakly nonlinear ray theory, Proc. Indian Academy Sciences (Mathematical
Sciences), 2000, 110, 4, 431-447.
Monica, A and Phoolan
Prasad, Propagation of a curved weak shock, J. Fluid Mechanics, 2001, 434,
119-151.
Baskar, S and Phoolan Prasad, Kinematical
conservation laws applied to study geometrical shapes of a solitary wave, Wind Over Waves II: Forecasting and Fundamentals. Ed. S. Sajjadi & J. Hunt, Horwood
Publishing Limited, England 2003,
189-200. This is a proceeding for INI conference on water waves, Isaac Newton
Institute,
Baskar, S and Phoolan Prasad, Riemann problem for
kinematical conservation laws and
geometrical features of nonlinear wavefronts,
Preprint No. 2/2002 Department of Mathematics, IISc,
Phoolan Prasad, Upstream propagating curved
shock in a steady transonic flow, Proceedings IUTAM Symposium Transsonicum IV, 2-6 September, 2002, Goettingen,
Germany; Ed. H. Sobieczky, Series “Fluid Mechanics
and Applications”, Vol 73; Kluwer
Academic Publishers, Dordrecht-Boston-London, ISBN
1-4020-1608-5, (2003), 25-32.
Baskar, S and Phoolan Prasad, 2004, Propagation
of curved shock fronts using shock ray theory and
comparison with other theories in 35 pages. Accepted for publication in
the Journal of Fluid Mechanics.
Paper
under preparation:
Baskar.S and Phoolan
Prasad, Formulation of the sonic boom from a maneuvering aerofoil as a one
parameter family of non-characteristic Cauchy
problem.
Phoolan Prasad, Kinematical conservation laws, ray theories
and applications. An invited article for
publication in the Indian Journal of Pure and
Applied Mathematics. Presented at the international
conference “Hyperbolic
Conference –Theory, Numerics and Applications “ to be
held in
Japan,