Riemann Problem for a 2x2 Hyperbolic System with Linear Damping

Abstract

In this paper, we study the Riemann problem for a 2x2 nonstrictly hyperbolic system with linear damping. We introduce the special time-dependent viscosity to obtain approximate solutions. Therefore, we solve the Riemann problem (1.1)–(1.2) by limiting viscosity approach.

Publication
Acta Applicandae Mathematicae, 170, 631-647. doi:10.1007/s10440-020-00350-w

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