報告題目：Model of Compressible Immiscible Fluid with General Navier Boundary Condition
報 告 人：施小丁 教授(北京化工大學)
報告時間：2019年5月30日14：00-15：00
報告地點：數學樓第二報告廳
報告摘要：
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.
報告人簡介：
施小丁，北京化工大學教授。博士畢業于中國科學院數學與系統科學研究院。主要研究流體力學方程部分成果發表在數學領域著名雜志Comm. Math. Phys., SIAM J. Math. Anal., Indiana Univ. Math. J., Nonlinearity，J. Differential Equations.等。多次主持國家自然科學基金項目。
