On local motion of a general compressible viscous heat conducting fluid bounded by a free surface
Tom 59 / 1994
Annales Polonici Mathematici 59 (1994), 133-170 DOI: 10.4064/ap-59-2-133-170
The motion of a viscous compressible heat conducting fluid in a domain in ℝ³ bounded by a free surface is considered. We prove local existence and uniqueness of solutions in Sobolev-Slobodetskiĭ spaces in two cases: with surface tension and without it.