Title: Some variants of the Aubin-lions lemma
Other Titles: Einige Varianten des Aubin-Lions-Lemms
Language: English
Authors: Holzinger, Philipp Rudolf 
Qualification level: Diploma
Keywords: Aubin-Lions-Lemma
Aubin-Lions lemma
Advisor: Jüngel, Ansgar 
Issue Date: 2017
Number of Pages: 61
Qualification level: Diploma
The purpose of this thesis is to write out and extend the paper [Mou16] by Ayman Moussa, which provides a modern approach to the classical Aubin-Lions Lemma. The author of [Mou16] states and proves in his work two generalizations of the Aubin-Lions Lemma, which is an in- dispensable tool in the studies of nonlinear parabolic differential equations. The two versions handle the problems, delivered by the estimates of degenerated evolution equations and in- compressible Navier-Stokes equations, the latter being considered on a non-cylindrical domain. The interesting fact about his work is his totally different approach to these problems, which where already studied by many other authors, without using the Aubin-Lions Lemma itself. We prepare appropriate theory, use most of the ideas and strategies of [Mou16] and carry out the proofs in [Mou16] substantially equal.
URI: https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-95634
Library ID: AC13642451
Organisation: E101 - Institut für Analysis und Scientific Computing 
Publication Type: Thesis
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