Dr. K. Hopf (WIAS Berlin)
Wednesday, April 28, 2021 - 15:15
Online Event
Berliner Oberseminar “Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar), --- ---
Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar)
We establish weak-strong uniqueness and stability properties of renormalised solutions to a class of energy-reaction-diffusion systems, which genuinely feature cross-diffusion effects. The systems considered are motivated by thermodynamically consistent models, and their formal entropy structure allows us to use as a key tool a suitably adjusted relative entropy method. Weak-strong uniqueness is obtained for general entropy-dissipating reactions without growth restrictions, and certain models with a non-integrable diffusive flux. The results also apply to a class of (isoenergetic) reaction-cross-diffusion systems.
submitted by eismann (andrea.eismann@wias-berlin.de, 030 20372320)