Abstract
AbstractThis paper is focused on the Riemann problem for a $2\times 2$
2
×
2
hyperbolic system of conservation laws with a time-gradually-degenerate damping. Two kinds of non-self-similar solutions involving the delta-shocks and vacuum are obtained using the variable substitution method. The generalized Rankine-Hugoniot relation and entropy condition are clarified for the delta-shock. Furthermore, the vanishing viscosity method proves the existence, uniqueness, and stability of non-self-similar solutions.
Funder
Ph.D. Foundation of Henan University of Engineering
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis