讲座题目:Global Existence and Nonlinear Stability of Finite-Energy Solutions of the Compressible Euler-Riesz Equations with Large Initial Data of Spherical Symmetry

讲座摘要:The compressible Euler–Riesz equations arise in astrophysics, plasma physics, and mathematical biology. This talk focuses on the global existence and nonlinear stability of finite-energy solutions with large spherically symmetric initial data, for both attractive and repulsive Riesz interactions, including the logarithmic case. A main novelty is the construction of global weak solutions via the inviscid limit of the Navier–Stokes–Riesz equation in the presence of singular nonlocal forces. The proof requires strong compactness of vanishing viscosity solutions, refined estimates on the radial Riesz potential near the origin, and a mechanism excluding concentration even for attractive super-Coulomb interactions. We further establish unconditional nonlinear stability around steady states under spherically symmetric perturbations, based on variational and concentration-compactness arguments.

讲座时间：2026年6月5日（周五）下午15:00

讲座地点：线下举办（综合大楼806）

嘉宾简介：袁迪凡，北师大副研究员，硕士生导师，2020年1月博士毕业于中科院，师从黄飞敏研究员和王德华教授，博士期间公派美国匹兹堡大学两年，先后参与香港城市大学，北京师范大学，意大利布雷西亚大学，英国牛津大学合作项目，主要研究可压缩流体力学方程数学理论，相关工作发表在CPAM, ARMA，JMPA等学术期刊。