Geodesic
On local motion of a compressible barotropic viscous fluid bounded by a free surface
Banach Center Publications, Tome 27 (1992) no. 2, pp. 511-553

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider the motion of a viscous compressible barotropic fluid in ℝ³ bounded by a free surface which is under constant exterior pressure, both with surface tension and without it. In the first case we prove local existence of solutions in anisotropic Hilbert spaces with noninteger derivatives. In the case without surface tension the anisotropic Sobolev spaces with integration exponent p > 3 are used to omit the coefficients which are increasing functions of 1/T, where T is the existence time.
DOI : 10.4064/-27-2-511-553
Keywords: free boundary, compressible barotropic viscous fluid, local existence, anisotropic Sobolev spaces, surface tension

W. Zajączkowski 1

1 
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W. Zajączkowski. On local motion of a compressible barotropic viscous fluid bounded by a free surface. Banach Center Publications, Tome 27 (1992) no. 2, pp. 511-553. doi: 10.4064/-27-2-511-553

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