Pointwise decaying rate of large perturbation around viscous shock for scalar viscous conservation law

DOI10.1007/S11425-012-4566-9zbMath1272.82032OpenAlexW1965467070MaRDI QIDQ365820

Weike Wang, ShiJin Deng

Publication date: 9 September 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4566-9

zbMATH Keywords

pointwise estimateviscous conservation lawone dimensionlarge initial datashock profileweighted energy estimate

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (6)

Large time behavior and pointwise estimates for compressible Euler equations with damping ⋮ Planar Viscous Shocks with Periodic Perturbations for Scalar Multidimensional Viscous Conservation Laws ⋮ Global structure of solutions toward the rarefaction waves for the Cauchy problem of the scalar conservation law with nonlinear viscosity ⋮ The pointwise estimate of solutions to the parabolic conservation law in multi-dimensions ⋮ Asymptotic stability of rarefaction waves to a radiation hydrodynamic limit model ⋮ Pointwise stability of shock wave for 2D anisotropic viscous conservation laws with large perturbation

Cites Work

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• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• Asymptotic behavior for scalar viscous conservation laws with boundary effect
• The Green's functions for the Broadwell model in a half space problem
• Nonlinear asymptotic stability of viscous shock profiles for conservation laws
• Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
• Convergence rates to viscous shock profile for general scalar viscous conservation laws with large initial disturbance.
• Nonlinear stability of shock waves for viscous conservation laws
• Stability of shock profiles in viscoelasticity with non‐convex constitutive relations
• Pointwise convergence to shock waves for viscous conservation laws
• ?1 stability of shock waves in scalar viscous conservation laws

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