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Communication Dans Un Congrès Année : 2019

Stability and instability of traveling wave solutions to scalar balance laws

Résumé

In the present contribution we discuss the dynamic stability of traveling wave solutions-including constant equilibria-to first order scalar hyperbolic balance laws. Our discussion is based on the recent works of the author and L.M. Rodrigues. Our aim here is to provide an overview of the results therein in a homogenized framework as well as key ingredients of the proofs.
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Dates et versions

hal-02971018 , version 1 (19-10-2020)

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  • HAL Id : hal-02971018 , version 1

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Vincent Duchêne. Stability and instability of traveling wave solutions to scalar balance laws. Mathematical Analysis in Fluid and Gas Dynamics, Jul 2019, Kyoto, Japan. ⟨hal-02971018⟩
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