Mathematics - Colloquium
Thursday, November 19, 2009
4:00 PM-5:00 PM
ABSTRACT: A transmission boundary value problem seeks to find solutions of a partial differential equation in both the interior and exterior of a fixed boundary that interact in a precise fashion along the boundary. Applications include studying heat conduction across an interface or the interactions between fluids of different viscosities. I will talk about the connections between transmission problems and other boundary value problems, and explain how the method of layer potentials can be used to construct solutions in non-smooth domains. Although quite complicated, I will demonstrate that transmission problems are, in a sense, more fundamental than standard Dirichlet or Neumann problems.
I will give examples involving various partial differential equations including Laplace’s equation, the Stokes system, the Lamé system, and polyharmonic equations.
Suggested Audiences: Adult, College
E-mail:
ma-chair@wpi.edu
Last Modified: November 12, 2009 at 9:02 AM
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