Global solution of the isothermal viscous gas equation in the whole space with a large external force deriving a potential
type: Item
instance of: scholarly article
title: Global solution of the isothermal viscous gas equation in the whole space with a large external force deriving a potential
zbMATH Open document ID: 0852.35086
author: Rachid Benabidallah
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1996-12-09T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108374
review text: The author considers the initial value problem for the system of equations of isothermal viscous gas in the whole space. He shows that the solution of this initial value problem exists uniquely globally in time. First, he proves the existence and uniqueness of a solution of the initial value problem for a linearized system of equations. Then the existence and uniqueness of a local (in time) solution for the initial value problem for a viscous gas system of equations is proved. Some estimates of this local solution are given too.
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 889842
zbMATH Keywords: isothermal viscous gas equation
reviewed by: Valeriu Al. Sava
MaRDI profile type: Publication
cites work: Q4850841
cites work: Q4748596
cites work: The initial value problem for the equations of motion of viscous and heat-conductive gases
cites work: Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
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description: scientific article; zbMATH DE number 889842