Mathematical Analysis of Fluids in Large Domains
Matematická analýa tekutin na neomezených oblastech
dizertační práce (OBHÁJENO)
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Trvalý odkaz
http://hdl.handle.net/20.500.11956/17638Identifikátory
SIS: 42503
Kolekce
- Kvalifikační práce [10690]
Autor
Vedoucí práce
Oponent práce
Pokorný, Milan
Vodák, Rostislav
Fakulta / součást
Matematicko-fyzikální fakulta
Obor
Matematická analýza
Katedra / ústav / klinika (externí)
Informace není k dispozici
Datum obhajoby
19. 9. 2008
Nakladatel
Univerzita Karlova, Matematicko-fyzikální fakultaJazyk
Angličtina
Známka
Prospěl/a
This thesis contains a set of articles concerned with flow of a viscous, compressible and heat conducting fluid in large domains. In the first part of the thesis, the existence of the weak solutions in unbounded domains is studied. The results follow each other in the way they were obtained through the time, and range from a simple extension to bounded domains with Lipschitz boundary up to the most general existence theorem for fluid flow in general open sets. The existence results are supplemented with the study of existence of weak solutions in the unbounded domain case with prescribed nonvanishing boundary conditions for density and temperature at infinity. The last contribution then concerns with the low Mach number limit in the compressible fluid flow.