The asymptotic limits of solutions to the Riemann problem for the relativistic Euler system for
polytropic gas with the chosen pressure term obeying the specific γ-law are investigated in …

The exact solutions of the Riemann problems for the two different perturbed macroscopic
production models are considered and constructed, respectively, for all the possible cases. It …

The exact solutions of the Riemann problem for a Temple-class hyperbolic system of
conservation laws consisting of three scalar equations are obtained in fully explicit forms, in …

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

The aim of this article is to study the limiting behavior of the solution of Riemann problem for
the scaled generalized Euler equations of compressible fluid flow. For any Riemann-type …

This paper proposes the pressureless magnetohydrodynamics (MHD) system by neglecting
the effect of pressure difference in the MHD system. Firstly, the Riemann problem for the …

We study the vanishing viscosity limit of a non-strictly hyperbolic system of balance laws
known as the 1D Saint-Venant model whose solution admits δ-waves. The balance term …

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 …