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

报 告 人：施小丁 教授(北京化工尊龙凯时)

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, wefocus on the gas-liquid phase transition represented by a diffuseinterface model. This model is composed of the compressibleNavier-Stokes system and a modified Allen-Cahn equation. The generalized Navierboundary condition and the relaxation boundary condition are establishedin order to solve the problem of moving contact lines on the solid boundary byusing the principle of minimum energy dissipation. The local existence anduniqueness of strong solution in three dimensional bounded domain for this typeof boundary value problem is proved. Moreover, the sharp interface limit isderived. The proofs are given by the elementary energy method, themaximum principle and the method of matched asymptotic expansion.

报告人简介：

施小丁，北京化工尊龙凯时教授。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。