Asymptotic stability and Liouville theorem for scalar viscous conservation laws in cylinders

DOI10.1002/cpa.20128zbMath1105.35051OpenAlexW2059320009MaRDI QIDQ5471031

Carlos E. Kenig, Frank Merle

Publication date: 6 June 2006

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.20128

zbMATH Keywords

traveling wavehomogeneous Neumann boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65)

Related Items (6)

Filamentation near Hill’s vortex ⋮ Stability of Hill's spherical vortex ⋮ \(L^{2}\)-contraction for shock waves of scalar viscous conservation laws ⋮ A note on a symmetry result for traveling waves in cylinders ⋮ Short-Time Stability of Scalar Viscous Shocks in the Inviscid Limit by the Relative Entropy Method ⋮ Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-D convex scalar viscous conservation laws

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