讲座题目：ON THE SHARP INTERFACE LIMIT FOR THE NON-LOCAL CAHN-HILLIARD-NAVIER-STOKES SYSTEM

主办单位：三峡数学研究中心/理学院

报告专家： 梁之磊教授

报告时间： 2022年6月29日  上午10:00

报告地点： 腾讯会议ID：399-777-660

个人简介：梁之磊， 西南财经大学 数学学院 教授，博导。研究方向非线性偏微分方程。主要从事流体力学中的数学理论研究。研究工作发表在国际主流期刊ARMA、JMPA、M3AS、SIAM 等。

报告摘要：The sharp interface model and the diffuse interface model are mostly used to describe the motion of the mixture of two macroscopically immiscible, viscous fluids. In this talk we consider the non-local Cahn-Hilliard-Navier-Stokes (CH-NS) system in a bounded domain with periodic boundary conditions. This system consists of the incompressible Navier-Stokes equations and the non-local Cahn-Hilliard diffusion equation. We prove the sharp interface limit of the non-local CH-NS system when the interface thickness tends to zero. In particular, it is shown that the weak solutions of the non-local CH-NS system converge to a weak solution of the sharp interface model when the width tends to zero.