Levich Institute Seminar Announcement, 03/07/2006

Tuesday, 03/07/2006
2:00 PM
Steinman Hall, Room #312
(Chemical Engineering Conference Room)

Professor Weinan E
Princeton University
Mathematics Department


"The Moving Contact Line Problem"


(This seminar is co-sponsored by the CREST Center for Mesoscopic Modeling and Simulation)

ABSTRACT


The moving contact line problem is a classical problem in fluid mechanics. The difficulty stems from the fact that the classical continuum theory with no-slip boundary condition predicts a non-physical singularity at the contact line with infinite rate of energy dissipation. Many modified continuum models are then proposed to overcome this difficulty. They all succeed in removing the singularity, but they leave behind the question: which one of these models is a good description of the microscopic physics near the contact line region? We will review the results obtained using continuum theory, molecular dynamics and the more recent multiscale techniques. We will also discuss how these techniques can be combined to give us a better understanding of the fundamental physics of the moving contact line and formulate simple and effective models.

Joint work with Weiqing Ren at the Courant Institute

BRIEF ACADEMIC/EMPLOYMENT BACKGROUND:

  • Ph.D. Mathematics UCLA 1989
  • M.S. Mathematics Chinese Academy of Sciences 1985
  • B.S. Mathematics University of Science and Technology of China 1982
  • 9/99- Professor, Department of Mathematics and PACM, Princeton University
  • 9/97-8/99 Professor, Courant Institute, New York University
  • 9/94-8/97 Associate Professor, Courant Institute, New York University
  • 9/92-8/94 Long Term Member, Institute for Advanced Study, Princeton
  • 9/91-8/92 Member, Institute for Advanced Study, Princeton
  • 9/89-8/91 Visiting Member, Courant Institute, New York University
CURRENT RESEARCH:

Developing systematic mathematical frameworks and computational methodologies for stochastic and multiscale modeling in science and engineering.