RESEARCH PAPERS WITH REPRINTS AND PREPRINTS
1.Phoolan Prasad, An
asymptotic derivation of weakly nonlinear ray
theory, Proc. Indian Academy Sciences (Mathematical Sciences), 2000, 110,
4, 431-447.
2.Monica, A and Phoolan Prasad, Propagation of a curved weak shock, J.
Fluid Mechanics, 2001, 434, 119-151.
3.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, Cambridge, 28-31, August 2001 and
WoW
conference, Churchil College, Cambridge, 3-5 September 2001.
4.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, Bangalore, 2002. IMA
Journal of Applied Mathematics, 2004, vol 69, no 4, pp. 391-420.
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.
6.Baskar, S and Phoolan
Prasad, 2004, Propagation of curved shock fronts
using shock ray theory and comparison with other theories in 28 pages.
Proofs corrected for the Journal of Fluid Mechanics.
7.Baskar, S. and Prasad, Phoolan, 2005, Kinematical conservation laws,
ray theories and applications, Proc. of 10th International Conference on
Hyperbolic Problems: Theory, Numerics and Applications, Osaka, Japan,
September 13-17, 2004, Ed. F. Asakura, H. Aiso, S. Kawashima, A. Matsumura,
S. Nishibata, K. Nishihara ; Vol. 1, 287-294, Yokohama Publishers.
8.Baskar, S. & Prasad, Phoolan, 2006 Formulation of the problem of
sonic boom by a maneuvering aerofoil as a one parameter family of
Cauchy problems, Proceedings of Indian Academy of Sciences:
Mathematical sciences, 116, 2006, 97-119.
9.Phoolan Prasad, Ray theories for hyperbolic waves, kinematical conservation laws
and applications, Indian J. Pure and Appl. Math., {\bf 38} (2007), pp. 467-90.
10.Arun, K. R., Raghurama Rao S.V., Lukacova-Medvidova, M, and Phoolan Prasad, 2007
A Genuinely Multi-dimensional Relaxation Scheme for Hyperbolic Conservation Laws,
To be presented at the 7th Asian Computational Fluid Dynamics Conference, Bangalore,
November 26-30, 2007.
11.Arun, K. R., and Phoolan Prasad, 2007
3-D kinematical Conservation Laws:Equation of Evolution of a Surface.
12.Arun, M. Kraft, M. Lukacova - Medvidova and Phoolan Prasad, 2008
Finite volume evolution Galerkin method for wave propagation in heterogeneous media.(Submitted)
13.Prof. Phoolan Prasad and Prof. David Parker, 2009
A shock ray theory for Propagation of a curved shock of arbitrary strength
14.Arun K R, 2010
A Numerical Scheme for Three-Dimensional front propagation and control of Jordan mode
Accepted for publication in "SIAM Journal on Scientific Computation".
15.K. R. ARUN, M. LUKACOVA-MEDVIDOVA PHOOLAN PRASAD AND S. V. RAGHURAMA RAO, 2010
A SECOND ORDER ACCURATE KINETIC RELAXATION SCHEME FOR INVISCID COMPRESSIBLE FLOWS
16.H. S. Gupta and P. Prasad, 2011
A bicharacteristic formulation of the ideal MHD equations, J. Plasma Physics (2011), vol. 77, part 2, pp. 169-191.
17.Arun, K. R., and Phoolan Prasad, 2012
Propagation of a three-dimensional weak shock front using kinematical
conservation laws.
18.Fermat's and Huygens' Principles, and hyperbolic equations and their equivalence in wavefront construction, Neural, Parallel, and Scientific Computations, 21, 305-318.
19.First Order Partial Differential Equations: a simple approach for beginners.
20. Phoolan Prasad, 2022, System of kinematical conservation laws, Review Article, CURRENT SCIENCE, VOL. 123, NO. 12, 25 DECEMBER 2022, 1441-7, doi: 10.18520/cs/v123/i12/1441-1447, https://www.currentscience.ac.in/Volumes/123/12/1441.pdf