On Nonstationary Motion of a Compressible Barotropic Viscous Capillary Fluid Bounded by a Free Surface

Autor:	W. M. Zajaczkowski
Rok vydání:	1994
Předmět:	Physics Surface tension Computational Mathematics Capillary action Applied Mathematics Bounded function Free surface Barotropic fluid Mathematical analysis Compressibility Ball (mathematics) Analysis
Zdroj:	SIAM Journal on Mathematical Analysis. 25:1-84
ISSN:	1095-7154 0036-1410
DOI:	10.1137/s0036141089173207
Popis:	The author considers the motion of a viscous compressible barotropic fluid in $\mathbb{R}^3 $, bounded by a free surface that is under surface tension and constant exterior pressure. Assuming the initial density is sufficiently close to a constant, the initial domain is sufficiently close to a ball, the initial velocity is sufficiently small, and the external force vanishes, the existence of a global-in-time solution is proven, which satisfies, at any moment of time, the properties prescribed at the initial moment.
Databáze:	OpenAIRE
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