On some inequalities for solutions of equations describing the motion of a viscous compressible heat-conducting capillary fluid bounded by a free surface
Volume 28 / 2001
Applicationes Mathematicae 28 (2001), 31-53
MSC: 35Q35, 35R35, 76N10.
DOI: 10.4064/am28-1-3
Abstract
We derive inequalities for a local solution of a free boundary problem for a viscous compressible heat-conducting capillary fluid. The inequalities are crucial in proving the global existence of solutions belonging to certain anisotropic Sobolev–Slobodetskii space and close to an equilibrium state.
