Titelaufnahme

Titel
Some variants of the Aubin-lions lemma / Philipp Rudolf Holzinger
Weitere Titel
Einige Varianten des Aubin-Lions-Lemms
VerfasserHolzinger, Philipp Rudolf
Begutachter / BegutachterinJüngel, Ansgar
ErschienenWien, 2017
Umfangvii, 61 Blätter
HochschulschriftTechnische Universität Wien, Diplomarbeit, 2017
Anmerkung
Abweichender Titel nach Übersetzung der Verfasserin/des Verfassers
SpracheEnglisch
DokumenttypDiplomarbeit
Schlagwörter (DE)Aubin-Lions-Lemma
Schlagwörter (EN)Aubin-Lions lemma
URNurn:nbn:at:at-ubtuw:1-95634 Persistent Identifier (URN)
Zugriffsbeschränkung
 Das Werk ist frei verfügbar
Dateien
Some variants of the Aubin-lions lemma [0.44 mb]
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Klassifikation
Zusammenfassung (Englisch)

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.