×

A gas-solid free boundary problem for a compressible viscous gas. (English) Zbl 1035.35070

A one-dimensional free-boundary problem is formulated to describe a phase transition of solid into compressible viscous gas with a prescribed density jump at the phase transition line. Initial data are found to permit global existence of solutions which are close to a combination of traveling and rarefaction waves.

MSC:

35L65 Hyperbolic conservation laws
35R35 Free boundary problems for PDEs
PDFBibTeX XMLCite
Full Text: DOI