报告题目：Global regularity of 2D density patches for variable-viscosity fluids（Incompressible fluid models）

报 告 人：Rebekka Zimmermann (Karlsruhe Institute of Technology, 德国卡尔斯鲁厄理工学院)

报告时间：2025年9月16日（星期二）14:00-15:30

报告地点：数学科学学院114（小报告厅）

校内联系人：廖娴 教授        联系方式：84708351-8510

报告摘要：We consider the two-dimensional 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 these two talks is to prove this regularity propagation under a suitable smallness assumption on the initial velocity field. The first talk focuses on the incompressible case, and the second talk treats the compressible case.