学术报告会：Global Classical Solutions to the Viscous Two-Phase Flow Model with Navier-type Slip Boundary Condition in 2D Bounded Domains

报告题目：Global Classical Solutions to the Viscous Two-Phase Flow Model with Navier-type Slip Boundary Condition in 2D Bounded Domains

报  告  人：李自来   河南理工大学

报告时间：2023年11月26日15:00

报告地点：S3-403

摘要: We consider the viscous two-phase flow model with Navier-type slip boundary condition in a two-dimensional simply connected bounded domain with smooth boundary. Based on some new estimates of effective viscous flux on boundary integrals related to the Navier-type slip boundary condition, we establish the global existence and large time behavior of the classical solutions to two-phase flow model in time provided the initial energy is suitably small even if the density contains vacuum and has large oscillations. This is the first result concerning the global existence of classical solutions to the viscous two-phase flow model with density containing vacuum initially for general 2D bounded smooth domain.

个人简介：

李自来，博士，校聘教授，硕士生导师，主要研究偏微分方程中的流体力学方程，目前已在国内外著名学术刊物上发表SCI 论文20余篇，其中包括 Pacific J. Math.、J. Differential Equations、J. Math. Fluid Mech.、Commun. Math. Sci.、 Science China-Mthematics中国科学等。主持国家自然科学基金2项，博士后基金面上项目1项，河南理工大学科研创新团队1项。