A vacuum problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)163-184
Journal / PublicationJournal of Differential Equations
Volume184
Issue number1
Publication statusPublished - 1 Sep 2002

Abstract

This paper is concerned with the free boundary problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity. A local (in time) existence result is established when the initial density is of compact support and connects to the vacuum continuously. © 2002 Elsevier Science (USA).