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

报 告 人: 姚磊教授（西北工业大学）

报告时间：2023年12月9日  16:00

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 Poincare -AN、SIAM JMA、Indiana Univ. Math. J.、M3AS等国际期刊上。