On an inequality for a free boundary problem for equations of a viscous compressible heat-conducting capillary fluid
Volume 29 / 2002
Applicationes Mathematicae 29 (2002), 399-438
MSC: 35Q35, 35R35, 76N10.
DOI: 10.4064/am29-4-3
Abstract
We derive an inequality for a local solution of a free boundary problem for a viscous compressible heat-conducting capillary fluid. This inequality is crucial to proving the global existence of solutions belonging to certain anisotropic Sobolev–Slobodetskiĭ spaces and close to an equilibrium state.
