Division of Applied Mathematics

Seminars for Mar 20 - Mar 24, 2000

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• Monday, March 20, 2000
  
  

  Lefschetz Center for Dynamical Systems Seminar

  Speaker:	Sanjeeva Balasuriya, Brown University
  Title:	Weak Melnikov Theory for 3-D Navier-Stokes Flows
  Time/Place:	4:00 p.m., B&H 155

  Abstract:   A Melnikov theory is developed for 2-D heteroclinic manifolds in a 3-D geometry, for the case where the perturbation is not necessarily differentiable in the relevant small parameter. The motivation for this theory stems from fluid mechanics, in which a Navier-Stokes perturbation of a Euler flow need not possess smoothness
  in the viscous parameter. The theory is applied in such a setting, to address the manifold splitting due to small viscosity. Some preliminary work in analysing the (experimentally observed) bubble-vortex breakdown phenomena using this approach is presented.

  This research is in collaboration with Igor Mezic (Harvard University) and Chris Jones (Brown University).

• Wednesday, March 22, 2000
  
  

  Brown Applied Mathematics Pattern Theory and Vision Seminar

  Speaker:	Professor Daniel Ostrov, Department of Mathematics and Computer Science, Santa Clara University
  Title:	Dealing with Discontinuous Data in Shape From Shading and Related Problems
  Time/Place:	4:00 p.m., 182 George Street, Room 110

  Abstract:   Shape from shading is the study of how to determine a 3-D surface from a 2-D picture of the surface (plus as minimal an amount of additional information as possible.) When the picture has discontinuities (i.e., a bright part of the picture borders a darker part), difficulties arise in determining existence, uniqueness, and a method of computation for the solution of the underlying PDE describing the surface. We will explain a method of resolving these questions involving control theory, which also allows us to answer larger questions about much more general first order PDEs with discontinuous data dependence.

  Brown Analysis Seminar

  Speaker:	Sergei Treil, Brown University
  Title:	Cyclicity of Invariant Subspaces of the Bergman Shift (continued)
  Time/Place:	4:00 p.m., Kassar 105

• Thursday, March 23, 2000
  
  

  Brown University Joint Seminar Department of Neuroscience, Division of Biology and Medicine and Division of Applied Mathematics

  Speaker:	Eugene Izhikevich, Arizona State University, Systems Science and Engineering Research Center
  Title:	Dynamical Systems in Neuroscience
  Time/Place:	10:00 a.m., Eddy Auditorium, BioMed - Room 291 Dr. Izhikevich is a candidate for a faculty position in the Department of Neuroscience and the Division of Applied Mathematics. If you wish to meet with Dr. Izhikevich contact Janice D'Amico at X3-2358 or Susan Troy at X3-9524. Please send written comments to: J. Donoghue, Theoretical Search Committee, Box 1953, John_Donoghue@brown.edu

• Friday, March 24, 2000
  
  

  PDE Seminar

  Speaker:	Yuri Latushkin, University of Missouri
  Title:	Spectral Mapping Theorems for Euler and Nonlinear Schroedinger Equations
  Time/Place:	3:00 p.m., Kassar 105

  Department of Mathematics Colloquium
  NO SEMINAR DUE TO SPRING BREAK
  

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