- Tytuł:
- On local motion of a compressible barotropic viscous fluid bounded by a free surface
- Autorzy:
- Zajączkowski, W.
- Powiązania:
- https://bibliotekanauki.pl/articles/1361117.pdf
- Data publikacji:
- 1992
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
free boundary
compressible barotropic viscous fluid
local existence
anisotropic Sobolev spaces
surface tension - Opis:
- 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.
- Źródło:
-
Banach Center Publications; 1992, 27, 2; 511-553
0137-6934 - Pojawia się w:
- Banach Center Publications
- Dostawca treści:
- Biblioteka Nauki
Artykuł