Hardy type inequality and application to the stability of degenerate stationary waves
type: Item
instance of: scholarly article
title: Hardy type inequality and application to the stability of degenerate stationary waves
zbMATH Open document ID: 1178.35059
author: Shuichi Kawashima
author: Kazuhiro Kurata
published in: Journal of Functional Analysis
publication date: 2009-06-30T00:00:00Z
review text: This paper is concerned with the asymptotic stability of degenerate stationary waves for viscous conservation laws in the half space. It is proved that the solution converges to the corresponding degenerate stationary wave as \(t\rightarrow \infty\). Stability analysis is based on the space-time weighted energy method combined with a Hardy type inequality with the best possible constant.
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 5572185
zbMATH Keywords: viscous conservation laws
zbMATH Keywords: degenerate stationary waves
zbMATH Keywords: asymptotic stability
zbMATH Keywords: space-time weighted energy method
zbMATH Keywords: Hardy type inequality
MaRDI profile type: Publication
full work available at URL: j.jfa.2009.04.003
OpenAlex ID: W2064733332
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DOI: 10.1016/J.JFA.2009.04.003
description: scientific article; zbMATH DE number 5572185