Vanishing dissipation limit of solutions to initial boundary value problem for compressible complex fluid models
科研大讨论系列报告
报告题目(Title)：Vanishing dissipation limit of solutions to initial boundary value problem for compressible complex fluid models
报告人(Speaker)：谢峰 教授（上海交通大学数学科学学院）
地点(Place)：后主楼1124
时间(Time)：11月10日（周五）下午4:00-5:00
邀请人(Inviter)：许孝精
报告摘要
In this talk, I will discuss the vanishing dissipation limit of solutions to the initial boundary value problem for several compressible complex fluid models, such as magneto-hydrodynamics (MHD) equations and viscoelasticity equations. It was observed that both the normal component of magnetic field and non-degenerated deformation tensor can prevented the strong boundary layers from occurring. As a consequence, it is possible for us to derive the uniform energy estimates of solutions to the initial boundary value problem with respect to the small dissipation coefficients, even if the no slip boundary conditions are imposed on velocity field. Based on the uniform energy estimates achieved and some elementary compactness arguments, the vanishing dissipation limit of solutions can be proved in a strong topology sense.
