报告摘要：

       Contact lines (e.g, where coffee meets the coffee cup) appear generically between a free surface and a fixed boundary. Even though the steady contact line and contact angle was studied by people like Gauss and Young, even the modelling of dynamic contact lines has been an active research area in physics. In a joint research program with Ian Tice, global well-posedness and stability of contact lines is established for a recent viscous fluid model in 2D.

报告人简介：

       Professor Guo received his B.S. from Peking University in 1987. He received his Ph.D in Mathematics from Brown University in 1993. He was a Courant Instructor at the Courant Institute of Mathematical Sciences, an Assistant Professor at Brown University and Princeton University. He returned to Brown University in 1998 and was promoted to full professor in 2004. His professional awards include an Honorable Mention in SIAM Student Paper Competition in 1992, an A. P. Sloan Dissertation Fellowship in 1993, an NSF Postdoctoral Fellowship for 1995-98. Professor Guo is an A. P. Sloan Research Fellow for 1998-2000. Professor Guo's research is concerned with the rigorous mathematical study of partial differential equations arising in various scientific applications. More specifically, he has been working on PDE arising in the kinetic theory of statistical physics, especially in connection with the nonlinear stability of their steady states. Professor Guo has also been working on developing general mathematical framework to prove and characterize nonlinear instabilities.