We approximate the unique entropy solutions to general multidimensional degenerate
parabolic equations with BV continuous flux and continuous nondecreasing diffusion …

Measure‐valued weak solutions for conservation laws with discontinuous flux are proposed
and explicit formulae have been derived. We propose convergent discontinuous flux‐based …

This article is concerned with the existence of a weak asymptotic solution for a 5× 5 system
of nonstrictly hyperbolic conservation laws. We provide additional weak asymptotic …

In this work we apply the asymptotic method suggested by Maslov [1] to obtain the Hugoniot–
Maslov chain for shock type solutions of conservation laws systems with quadratic flux …

The objective of this thesis is manifold. Based on the different problems and methods, we
divide the thesis into four parts. In the first part, we considered some strictly hyperbolic …

This chapter considers the numerical approximation for the 1-D ultra-relativistic Euler (URE)
equations. These equations describe an ideal gas in terms of the particle density n, the …