Riemann problem for a 2 × 2 $2\times 2$ hyperbolic system with time-gradually-degenerate damping

Riemann problem for a 2 × 2 $2\times 2$ hyperbolic system with time-gradually-degenerate damping

Abstract This paper is focused on the Riemann problem for a 2 × 2 $2\times 2$ 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 genera...

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Bibliographic Details
Main Author: Shiwei Li
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:Boundary Value Problems
Subjects:
Conservation laws
Time-gradually-degenerate damping
Delta-shocks
Vanishing viscosity method
Online Access:https://doi.org/10.1186/s13661-023-01798-z

Internet

https://doi.org/10.1186/s13661-023-01798-z

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