On nonstationary motion of a fixed mass of a general fluid bounded by a free surface
Volume 60 / 2003
Banach Center Publications 60 (2003), 253-266
MSC: 35Q35, 35R35, 76N10
DOI: 10.4064/bc60-0-20
Abstract
In the paper the motion of a fixed mass of a viscous compressible heat conducting fluid is considered. Assuming that the initial data are sufficiently close to an equilibrium state and the external force, the heat sources and the heat flow through the boundary vanish, we prove the existence of a global in time solution which is close to the equilibrium state for any moment of time.