Singular Perturbation Theory for Reaction-diffusion PDEs

Thursday, October 14, 1999 - 4:30pm - 5:00pm
Keller 3-180
Tasso Kaper (Boston University)
For systems of reacting and diffusing chemical species, we present a method based on geometric singular perturbation theory for finding invariant manifolds whose dimension is lower than that of the full phase space. We reduce large systems of reaction-diffusion PDE's to smaller systems of PDEs by keeping only a subset of the reacting species. Critical information about the removed species is naturally retained via nonlinear diffusion coefficients. We also present a PDE analog of Fraser's iterative method for ODEs arising in reaction kinetic theory.