报告题目：Mathematical analysis of regularity propagation in variable-viscosity 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11日（星期四）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 coefficients for both incompressible and compressible fluids. We present some global-in-time well-posedness results for these equations under some tangential regularity assumption of the density, while allowing for discontinuous density and viscosity coefficients without size restriction on their jumps. As a consequence, we can propagate the regularity of interfaces between two immiscible fluids with different densities and viscosities.