About compressible viscous fluid flow in a bounded region
type: Item
instance of: scholarly article
title: About compressible viscous fluid flow in a bounded region
zbMATH Open document ID: 0669.76089
author: Gerhard Ströhmer
published in: Pacific Journal of Mathematics
publication date: 1990-01-01T00:00:00Z
review text: Using the theory of analytic \(L_ p\)-semigroups the paper gives a criterion for the existence for all times and convergence as \(t\to \infty\) of solutions close to a constant state for a class of parabolic- hyperbolic systems with one hyperbolic equation. The most important condition is that the linearization of the equation about the constant state may not have any solution that does not go to zero as \(t\to \infty\). By means of previous work of the author it is shown that this condition is fulfilled for compressible viscous fluids and for a magnetic-hydrodynamic model. Due to the fact that p can be chosen very large the results are independent of the dimension of the space in question.
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 4097000
zbMATH Keywords: analytic L(sup p)-semigroups
zbMATH Keywords: convergence
zbMATH Keywords: parabolic-hyperbolic systems
zbMATH Keywords: linearization
zbMATH Keywords: compressible viscous fluids
zbMATH Keywords: magnetohydrodynamic model
MaRDI profile type: Publication
full work available at URL: pjm.1990.143.359
OpenAlex ID: W2027875155
DOI: 10.2140/PJM.1990.143.359
description: scientific article; zbMATH DE number 4097000