The book aims to present the recent developments in Rational Extended Thermodynamics
(RET) of gases in both classical and relativistic cases. The RET theory is a …

In this paper, we have considered a very general van der Waals equation of state to study
the one-dimensional motion of magnetogasdynamic (MGD) equations. Transport equations …

In our present work, we analyze the limiting behaviour of solution to the Riemann problem
for a macroscopic production model with van der Waals equation of state. We construct the …

In this article, the well-known Cargo–Leroux model with isentropic perturbation equation of
state is analyzed using the Lie symmetry method. By using invariant conditions of system of …

In this paper, we analyze the Riemann problem for concentration and cavitation phenomena
to the isothermal Euler equations for van der Waals gas with dust particles in the presence of …

The propagation of a spherical (or cylindrical) shock wave in a non-ideal gas with heat
conduction and radiation heat-flux, in the presence of a spacially decreasing azimuthal …

In this paper, we consider the pressureless Cargo-LeRoux model of conservation laws
represented by a system of quasi-linear partial differential equations derived from the one …

Abstract The well-known Cargo-LeRoux model for the isentropic Chaplygin gas is
investigated using classical Lie symmetry method. Optimal systems up to six dimensions are …

We derive exact solutions of one‐dimensional Euler system that accounts for gravity
together with large friction. Certain optimal classes of subalgebra using Lie symmetry …

In this paper, we have used the Lie group of transformations and obtained the whole range
of self-similar solutions to the problem of propagation of shock waves through a non-ideal …