Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas
type: Item
instance of: scholarly article
title: Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas
zbMATH Open document ID: 1048.35083
author: Akitaka Matsumura
author: Feimin Huang
author: Xiao-ding Shi
published in: Communications in Mathematical Physics
publication date: 2003-08-21T00:00:00Z
review text: The authors examine the inflow problem for a one-dimensional compressible viscous gas on the semi-axis \(x\in (0,+\infty)\). The asymptotic stability of both the viscous shock wave and a superposition of the viscous shock wave and boundary layer solution is established under some smallness conditions, provided the viscous shock profile is sufficiently far from the boundary initially. The proofs are based on the reformulation of the original problem as an initial-boundary value problem, on the Leray-Schauder fixed point theorem and a priori energy estimates.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 1969279
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: Leray-Schauder fixed point theorem
zbMATH Keywords: energy estimates
MaRDI profile type: Publication
full work available at URL: s00220-003-0874-9
OpenAlex ID: W1999935069
DOI: 10.1007/S00220-003-0874-9
description: scientific article; zbMATH DE number 1969279