中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

偏微分方程研讨班

Speaker: Rebekka Zimmermann（卡尔斯鲁厄理工学院）

Inviter: 黄祥娣

Language:English

Title: Global regularity of 2D density patches for incompressible variable-viscosity fluids

Time&Venue: 2025年9月23日（星期二）10:00-11:00& 南楼N913

Abstract: We consider the two-dimensional incompressible Navier-Stokes equations with density-dependent viscosity coefficient. The density-patch problem considers an initial density which is the indicator function of a bounded domain, and asks whether the boundary regularity persists over time when the density is transported by the fluid flow. The goal of this talk is to prove this regularity propagation under a suitable smallness assumption on the initial velocity field.