Note on the Relative Entropy Method for Moderately Interacting Particle System on the Whole Space
发布时间:2023年08月28日
浏览次数:2162
发布者: Ying Hao
主讲人: Li CHEN (University of Mannheim)
活动时间: 从 2023-08-30 10:00 到 11:00
场地: 北京国际数学研究中心,镜春园78号院(怀新园)77201室
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.