Geodesic
Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
Annales Polonici Mathematici, Tome 60 (1994) no. 3, pp. 255-287

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We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
DOI : 10.4064/ap-60-3-255-287
Keywords: local existence, free boundary, anisotropic Sobolev spaces, viscous compressible barotropic fluids 
W. Zajączkowski. Existence of local solutions for free boundary problems for viscous compressible barotropic fluids. Annales Polonici Mathematici, Tome 60 (1994) no. 3, pp. 255-287. doi: 10.4064/ap-60-3-255-287
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