Note on the Relative Entropy Method for Moderately Interacting Particle System on the Whole Space
Time: 2023-08-28
Published By: Ying Hao
Speaker(s): Li CHEN (University of Mannheim)
Time: 10:00-11:00 August 30, 2023
Venue: Room 77201, Jingchunyuan 78, BICMR
Abstract: I will present a recent work on combining the relative entropy method by Jabin and Wang and the regularized L2-estimate by Oeschläger to give a rigorous derivation of viscous porous medium equation from moderately interacting particle system in the sense of strong L1 norm. The key step is to obtain a well-posedness result for the corresponding nonlocal PDE. This is a joint work with A. Holzinger and X. Huo.
