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On weak solutions to general hyperbolic systems and energy/entropy conservation

Oberseminar, 14.11.2017

Description

A common feature of systems of conservation laws of continuum physics is that they are endowed with natural companion laws which are in such case most often related to the second law of thermodynamics. They are endowed with nontrivial companion conservation laws, which are immediately satisfied by classical solutions. Not surprisingly, weak solutions may fail to satisfy companion laws, which are then often relaxed from equality to inequality and overtake a role of a physical admissibility condition for weak solutions. We want to discuss what is

a critical regularity of weak solutions to a general system of conservation laws to satisfy an associated companion law as an equality. An archetypal example of such result was derived for the incompressible Euler system by Constantin et al. ([1]) in the context of the seminal Onsager's conjecture.

[1] P. Constantin, W. E, and E. S. Titi. Onsager’s conjecture on the energy conservation for solutions of Euler’s equation. Comm. Math. Phys.,1994.



Url https://www.ifam.uni-hannover.de/os_analysis.html
Speaker

Prof. Dr. Agnieszka Swierczewska-Gwiazda (Universität Warschau)

Organiser

Institut für Angewandte Mathematik

Date 14.11.2017
16:15 o'clock - 17:00 o'clock
Public contact Antje Günther
Institut für Angewandte Mathematik
Welfengarten 1
30167 Hannover
Tel.: 0511/762-3251
Fax: 0511/762-3988
guentherifam.uni-hannover.de
Location Building: 1101
Room: c311
Welfengarten 1
30167 Hannover