On an inequality for a free boundary problem for equations of a viscous compressible heat-conducting capillary fluid
Ewa Zadrzyńska, Wojciech M. Zajączkowski (2002)
Applicationes Mathematicae
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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.