Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
Annales Polonici Mathematici, Tome 60 (1994) no. 3, pp. 255-287
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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].
Keywords:
local existence, free boundary, anisotropic Sobolev spaces, viscous compressible barotropic fluids
Affiliations des auteurs :
W. Zajączkowski 1
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author = {W. Zaj\k{a}czkowski},
title = {Existence of local solutions for free boundary problems for viscous compressible barotropic fluids},
journal = {Annales Polonici Mathematici},
pages = {255--287},
year = {1994},
volume = {60},
number = {3},
doi = {10.4064/ap-60-3-255-287},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-60-3-255-287/}
}
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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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