On a class of nonautonomous quasilinear systems with general time-gradually-degenerate damping
Analysis of PDEs
2024-03-28 v1
Abstract
In this paper, we study two systems with a time-variable coefficient and general time-gradually-degenerate damping. More explicitly, we construct the Riemann solutions to the time-variable coefficient Zeldovich approximation and time-variable coefficient pressureless gas systems both with general time-gradually-degenerate damping. Applying the method of similar variables and nonlinear viscosity, we obtain classical Riemann solutions and delta shock wave solutions.
Keywords
Cite
@article{arxiv.2403.17732,
title = {On a class of nonautonomous quasilinear systems with general time-gradually-degenerate damping},
author = {Richard De la cruz and Wladimir Neves},
journal= {arXiv preprint arXiv:2403.17732},
year = {2024}
}