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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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This page is a summary of: Vanishing viscosity limit for Riemann solutions to a 2 × 2 hyperbolic system with linear damping, Asymptotic Analysis, January 2022, IOS Press,
DOI: 10.3233/asy-211690.
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