Analysis of Compressible Navier-Stokes-Allen-Cahn systems with gerenal Navier boundary condition
报告人:施小丁
报告地点:数学与统计学院6楼大应用数学实验室
报告时间:2019年05月30日星期四10:00-11:00
邀请人:
报告摘要:
In this talk, we focus on the gas-liquid phase transition represented by a diffuse interface model. This model is composed of the compressible Navier-Stokes system and a modified Allen-Cahn equation. The generalized Navier boundary condition and the relaxation boundary condition are established in order to solve the problem of moving contact lines on the solid boundary by using the principle of minimum energy dissipation. The local existence and uniqueness of strong solution in three dimensional bounded domain for this type of boundary value problem is proved. Moreover, the sharp interface limit is derived. The proofs are given by the elementary energy method, the maximum principle and the method of matched asymptotic expansion.
主讲人简介:
北京化工大学理学院教授,在Comm. Math. Phys. 、SIAM J. Math. Anal.、Indiana Univ. Math. J.、J. Differential Equations等国际著名学术期刊发表论文30余篇。