Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Professor Dr. Emil Wiedemann
Universität Hannover

 
spricht am
 
Donnerstag, 4. Mai 2017
 
um
 
15:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Regularity and Energy Conservation for the Euler Equations«

Abstract:
How regular does a solution to the (incompressible or compressible) Euler system need to be in order to conserve energy? In the incompressible context, this question is the subject of Onsager's famous conjecture from 1949. We will review the elegant proof of energy conservation for the incompressible system in Besov spaces with exponent greater than 1/3 by Constantin-E-Titi, and explain how their arguments can be refined to handle the isentropic compressible Euler equations. We we also see that these methods are insufficient for so-called statistical solutions, and explain how to handle them instead. Joint work with E. Feireisl, P. Gwiazda, A. Świerczewska-Gwiazda, and with U. S. Fjordholm.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Lisa Beck



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