Skip to main content

27. Apr 2023

Particle systems with singular interaction for Wasserstein-type diffusion.

Mathphys Analysis Seminar

Datum: 27. April 2023 | 17:15 – 18:15
Sprecher: Vitalii Konarovskyi, University of Bielefeld
Veranstaltungsort: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Sprache: Englisch

The talk is devoted to a system of interacting diffusion particles on the real line that start from an infinite set of points, move independently until they meet and then coalesce or sticky-reflect from each other. We additionally assume that particles transfer a mass obeying the conservation law, and their diffusion is inversely proportional to the mass. 
 
We will show that the process describing the evolution of particle mass solves a corrected Dean-Kawasaki equation for particle density in Langevin dynamics. This process also satisfies the Varadhan formula for short times that is governed by the quadratic Wasserstein distance.

Weitere Informationen:

Datum:
27. April 2023
17:15 – 18:15

Sprecher:
Vitalii Konarovskyi, University of Bielefeld

Veranstaltungsort:
Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA

Sprache:
Englisch

Ansprechpartner:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

Teilen

facebook share icon
twitter share icon



sidebar arrow up
Nach Oben