Time decay rate of solutions toward the viscous shock waves under periodic perturbations for the scalar conservation law with nonlinear viscosity

DOI10.1007/s10255-023-1028-9OpenAlexW4313421378MaRDI QIDQ2701364

Yechi Liu

Publication date: 28 April 2023

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-023-1028-9

zbMATH Keywords

asymptotic behaviorperiodic perturbationviscous conservation lawtime decay rateviscous shock wave

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Cites Work

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• Viscous limits for piecewise smooth solutions to systems of conservation laws
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• Hyperbolic systems of conservation laws II
• Asymptotic Behavior of Solutions Toward the Viscous Shock Waves to the Cauchy Problem for the Scalar Conservation Law with Nonlinear Flux and Viscosity
• Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-D convex scalar viscous conservation laws
• Asymptotic Behavior of Solutions Toward a Multiwave Pattern to the Cauchy Problem for the Scalar Conservation Law with the Ostwald--de Waele-Type Viscosity
• Decay of solutions of systems of nonlinear hyperbolic conservation laws

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