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

2021 ◽  
pp. 1-22
Author(s):  
Richard De la cruz ◽  
Juan Juajibioy
Keyword(s):  
Conservation Laws ◽  
Riemann Problem ◽  
Existence Of Solutions ◽  
Time Dependent ◽  
Viscosity Method ◽  
Vanishing Viscosity ◽  
Riemann Solutions ◽  
Vanishing Viscosity Limit ◽  
Viscosity Limit ◽  
Linear Damping

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.

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