Vanishing viscosity limit for Riemann solutions to a 2 × 2 hyperbolic system with linear damping-Reference-Cited by-同舟云学术

Vanishing viscosity limit for Riemann solutions to a 2 × 2 hyperbolic system with linear damping

Published:2022-01-27 Issue:3 Volume:127 Page:275-296
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

De la cruz Richard¹,Juajibioy Juan¹

Affiliation:

1. School of Mathematics and Statistics, Universidad Pedagógica y Tecnológica de Colombia, Av. Central del Norte 39-115 Of. M-101, Tunja, Boyacá, 150003, Colombia. E-mails: richard.delacruz@uptc.edu.co, juan.juajibioy@uptc.edu.co

Abstract

In this paper, we propose a time-dependent viscous system and by using the vanishing viscosity method we show the existence of solutions for the Riemann problem to a particular 2 × 2 system of conservation laws with linear damping.

Publisher

IOS Press

Subject

General Mathematics

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