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math.AP2022
Exponential asymptotic stability of Riemann shocks of hyperbolic systems of balance laws
Grégory Faye, L. Miguel Rodrigues
For strictly entropic Riemann shock solutions of strictly hyperbolic systems of balance laws, we prove that exponential spectral stability implies large-time asymptotic orbital sta…
math.AP2022★ 1 cited
Uniform asymptotic stability for convection-reaction-diffusion equations in the inviscid limit towards Riemann shocks
Paul Blochas, L. Miguel Rodrigues
The present contribution proves the asymptotic orbital stability of viscous regularizations of stable Riemann shocks of scalar balance laws, uniformly with respect to the viscosity…