Hardy type inequality and application to the stability of degenerate stationary waves

DOI10.1016/j.jfa.2009.04.003zbMath1178.35059OpenAlexW2064733332MaRDI QIDQ1028330

Kazuhiro Kurata, Shuichi Kawashima

Publication date: 30 June 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.04.003

zbMATH Keywords

asymptotic stabilityviscous conservation lawsHardy type inequalityspace-time weighted energy methoddegenerate stationary waves

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65)

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Cites Work

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• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• Stability of degenerate stationary waves for viscous gases
• Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space
• Stability of planar stationary waves for damped wave equations with nonlinear convection in multi-dimensional half-space
• Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
• Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space
• Asymptotic stability of stationary waves for two-dimensional viscous conservation laws in half plane
• Convergence rate of solutions toward stationary solutions to the compressible Navier-Stokes equation in a half line
• Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves
• L^p ENERGY METHOD FOR MULTI-DIMENSIONAL VISCOUS CONSERVATION LAWS AND APPLICATION TO THE STABILITY OF PLANAR WAVES