On a \(L_{p}\)-estimate for the linearized compressible Navier-Stokes equations with the Dirichlet boundary conditions.
type: Item
instance of: scholarly article
title: On a \(L_{p}\)-estimate for the linearized compressible Navier-Stokes equations with the Dirichlet boundary conditions.
zbMATH Open document ID: 1048.35064
DOI: 10.1016/S0022-0396(02)00017-7
author: Piotr Bogusław Mucha
author: Wojciech M. Zajączkowski
published in: Journal of Differential Equations
publication date: 2003-04-02T00:00:00Z
review text: The authors consider an initial-boundary value problem for linearized compressible Navier-Stokes equations in Lagrangian coordinates and with Dirichlet boundary conditions. Using energy estimates, standard imbedding theorems and Marcinkiewicz-Mikhlin theorems on \(L_p\)-multipliers, the authors derive for the solution a special \(L_p\)-estimate with a constant independent of the length of time interval \([0; T]\).
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 1891247
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: Lagrangian coordinates
zbMATH Keywords: energy estimates
zbMATH Keywords: imbedding theorems
zbMATH Keywords: Marcinkiewicz-Mikhlin theorems
zbMATH Keywords: viscous compressible barotropic fluid motion
MaRDI profile type: Publication
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full work available at URL: s0022-0396(02)00017-7
OpenAlex ID: W2082583700
description: scientific article; zbMATH DE number 1891247