[Winter 1999 Colloquiums]
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COLLOQUIUM

DEPARTMENT OF MATHEMATICS AND STATISTICS
OAKLAND UNIVERSITY
ROCHESTER, MICHIGAN 48309

Jennifer Zhao
Department of Mathematics
University of Michigan, Dearborn

A Nonlinear Parabolic Equation Modeling
Surfactant Diffusion

Abstract

In this work, we study an initial-boundary value problem for nonlinear parabolic equations modeling surfactant diffusion. The boundary conditions are of nonlinear absorbtive types, and the initial value has a single point jump. We study the well-posedness of the problem, the convergence of a numerical scheme, regularity as well as quantitative behavior of solutions.

372 Science and Engineering Building
Tuesday, January 26, 1999
3:00­4:00 P.M.

Refreshments at 2:30­3:00 PM in Room 368, Science and Engineering Building