报告题目：Vanishing capillarity limit of a nonconservative compressible two-fluid model with common pressure

报 告 人： 姚磊，西北工业大学

报告时间：2023年12月9日下午4:00-

报告地点：格物楼数学研究中心 528报告厅

报告摘要： We investigate vanishing capillarity limit problem of a nonconservative compressible two-fluid model with common pressure ( ) in . Due to partial dissipation property of the system and strong coupling effects between two fluids, up to now, the vanishing capillarity limit of the 3D compressible two-fluid model with common pressure has remained a challenging problem.In the present work, by exploiting the dissipation structure of the model and employing several key observations, we show that the unique smooth solution of the generic compressible two-fluid model exists for all time, and converges globally in time to the unique smooth solution of the compressible two-fluid Navier-Stokes equations, as the capillary coefficient tends to zero. Moreover, as a by-product, we also obtain the convergence rate estimates with respect to the capillary coefficient for any given positive time.

报告人简介：姚磊，西北工业大学教授， 博士生导师，2010年在华中师范大学获理学博士学位。主要从事流体力学中的偏微分方程数学理论的研究，论文发表在 Math. Ann.、JMPA、Ann. I. H. Poincaré -AN、SIAM JMA、 Indiana Univ. Math. J.、M3AS等国际期刊上。