Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar)
Humboldt-Universität zu Berlin, WIAS Berlin

Prof. Dr. A. Jüngel (Technische Universität Wien, Österreich)

Cross-diffusion systems: from spin semiconductors to biological populations with stochastic forcing

Programm / Abstract:
Many real-world applications consist of multiple components, leading on the macroscopic scale to cross-diffusion systems which consist of strongly coupled parabolic equations. The applications may be very diverse and range from spin-polarized transport in semiconductors and ion transport in cell membranes to population dynamics. In this talk, some existence results for global-in-time weak solutions is proved, based on entropy methods. This technique was already used by Herbert Gajewski, and we detail some of his ideas to prove the large-time behavior and uniqueness of weak solutions, followed by some extensions like boundedness-by-entropy and martingale solutions to stochastic cross-diffusion systems.

Zeit:
am Mittwoch den 23. Oktober 2019 um 14:00

Ort:
Weierstraß-Institut
Mohrenstr. 39
10117 Berlin
Erhard-Schmidt-Hörsaal Erdgeschoss

eingetragen von eismann(andrea.eismann@wias-berlin.de, 030 20372320)

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