报告人： Associate Professor Ian Tice

Carnegie Mellon University

题目：The stability of contact lines in fluids

时间：2018年7月27日上午10:00

地点：海韵数理楼661

摘要：The contact line problem in interfacial fluid mechanics concerns the triple-junction between a fluid, a solid, and a vapor phase. Although the equilibrium configurations of contact lines have been well-understood since the work of Young, Laplace, and Gauss, the understanding of contact line dynamics remains incomplete and is a source of work in experimentation, modeling, and mathematical analysis. In this talk we consider a 2D model of contact point (the 2D analog of a contact line) dynamics for an incompressible, viscous, Stokes fluid evolving in an open-top vessel in a gravitational field. The model allows for fully dynamic contact angles and points. We show that small perturbations of the equilibrium configuration give rise to global-in-time solutions that decay to equilibrium exponentially fast. This is joint work with Yan Guo.

报告人简介：Ian Tice is now an Associate Professor at Carnegie Mellon University. Ph.D. (Courant Institute, New York University, 2003-2008), Postdoctoral Research Fellow (Brown University, 2008-2011; Universit ́e Paris-Est Cr ́eteil, Laboratoire d’Analyse et de Math ́ematiques Appliqu ́ees, 2011-2012). His research interests include nonlinear partial differential equations, fluid mechanics, variational methods, free boundary problems, statics and dynamics of vortices in the Ginzburg-Landau model of superconductivity. His works has been published in top journals such as CPAM, CMP, ARMA.

联系人:王焰金教授

欢迎广大师生参加！