10 citations · 10 across the 1 of their papers we have counts for
4 papers
Spherically Symmetric Solutions of Multi-dimensional Zero-pressure Gas Dynamics System
Anupam Pal Choudhury, K. T. Joseph, Manas R. Sahoo
In this article we find explicit formulae for spherically symmetric solutions of the multidimensional zero-pressure gas dynamics system and its adhesion approximation. The asymptot…
Singular limits for the Riemann problem. General diffusion, relaxation, and boundary conditions
K. T. Joseph, Philippe G. LeFloch
We consider self-similar approximations of nonlinear hyperbolic systems in one space dimension with Riemann initial data and general diffusion matrix. We assume that the matrix of…
Singular limits in phase dynamics with physical viscosity and capillarity
K. T. Joseph, Philippe G. LeFloch
Following pioneering work by Fan and Slemrod who studied the effect of artificial viscosity terms, we consider the system of conservation laws arising in liquid-vapor phase dynamic…
Large time behaviour of solutions of a system of generalized Burgers equation
K T Joseph
In this paper we study the asymptotic behaviour of solutions of a system of partial differential equations. When the equation reduces to the Burgers equation and was st…