Similarity solutions to the nonlinear non-equilibrium Marshak wave problem with a time
dependent radiation driving source are presented. The radiation transfer model used is the …

In this paper, we rigorously prove the existence of self-similar converging shock wave
solutions for the non-isentropic Euler equations for $\gamma\in (1, 3] $. These solutions are …

An analytical solution for power-law shock paths and a numerical solution for exponential-
law shock paths to the system of equations that describes a cylindrical shock wave in a …

Self-similar solutions to converging (implosions) and diverging (explosions) shocks have
been studied before, in planar, cylindrical, or spherical symmetry. Here, we offer a unified …

We solve the continuation problem for the nonisentropic Euler equations following the
collapse of an imploding shock wave. More precisely, we prove that the self-similar Güderley …

We present a systematic study of the similarity solutions for the Marshak wave problem in the
local thermodynamic equilibrium (LTE) diffusion approximation and in the supersonic …

We derive a family of similarity solutions to the nonlinear non-equilibrium Marshak wave
problem for an inhomogeneous planar medium, which is coupled to a time dependent …

The well-known Guderley similarity solution provides a fundamental example of how a
spherically converging shock wave can generate amplitude blowup in compressible Euler …