报告题目：Model of Compressible Immiscible Fluid with General Navier Boundary Condition

报 告 人：施小丁 教授(北京化工大学)

报告时间：2019年5月30日14：00-15：00

报告地点：数学楼第二报告厅

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.

报告人简介：

   施小丁，北京化工大学教授。博士毕业于中国科学院数学与系统科学研究院。主要研究流体力学方程部分成果发表在数学领域著名杂志Comm. Math. Phys., SIAM J. Math. Anal., Indiana Univ. Math. J., Nonlinearity，J. Differential Equations.等。多次主持国家自然科学基金项目。