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Alfonso Castro

September 2018

Reaction-Diffusion Equations under Perturbations of the Domain (Professor Jose Arrieta, Universidad Complutense de Madrid, Spain)

September 27, 2018 @ 1:15 pm - 2:15 pm
Shanahan 3465, Harvey Mudd College, 301 Platt Blvd.
Claremont, CA 91711 United States
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We analyze the behavior of the asymptotic dynamics of dissipative reaction-diffusion equations with Neumann boundary conditions when the domain where the equation is posed undergoes certain perturbation. We will focus on the behavior of the stationary solutions, their local unstable manifolds and the attractors. We will consider "regular" perturbations of the domain, that is, perturbations for which the spectra of the Laplace operator behaves continuously. In this case, it turns out that if all the equilibria of the unperturbed system…

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December 2018

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