Spherically symmetric equation of a viscous heat conducting gas with free surface
type: Item
instance of: scholarly article
title: Spherically symmetric equation of a viscous heat conducting gas with free surface
zbMATH Open document ID: 0881.76080
DOI: 10.1007/BF01759255
author: Rachid Benabidallah
author: Hisao Fujita Yashima
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1998-02-19T00:00:00Z
review text: The authors consider the system of differential equations governing the flow of a viscous heat conducting gas in an \(n\)-dimensional domain bounded by a rigid surface and by a free surface. The flow is assumed to be spherically symmetric (in a generalized sense for \(n\) dimensions). The problem is transformed by using ``spherical'' coordinates in \(n\) dimensions and then the mass-Lagrangian coordinates. For the transformed initial-boundary value problem, the authors prove an existence theorem and give a priori estimates for weak solution.
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 878443
zbMATH Keywords: existence theorem
zbMATH Keywords: a priori estimates
zbMATH Keywords: weak solution
reviewed by: Valeriu Al. Sava
MaRDI profile type: Publication
cites work: One-dimensional equation of viscous heat-conducting gas under less restrictive initial conditions
cites work: Q4126790
cites work: Q5890172
cites work: On the first initial-boundary value problem of compressible viscous fluid motion
cites work: On the free boundary value problem for compressible viscous fluid motion
description: scientific article; zbMATH DE number 878443