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PDE Seminar - Arnd Scheel

Arnd Scheel
February 28, 2017
1:30PM - 2:30PM
Math Tower 154

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Add to Calendar 2017-02-28 13:30:00 2017-02-28 14:30:00 PDE Seminar - Arnd Scheel Title: Growing stripesSpeaker: Arnd Scheel (University of Minnesota)Abstract: I will give an overview of work that explores how spatial growth acts as a selection mechanism, focusing on the creation of "striped phases". A prototypical example is the Allen-Cahn equation with heterogeneity that renders the system bistable in a half plane and monostable in the complement. Expanding the bistable region leads to creation of patterns at the boundary of the bistable region. Beyond Allen-Cahn, I will comment on effects in Cahn-Hilliard, reaction-diffusion, and Swift-Hohenberg equations.Seminar URL: https://research.math.osu.edu/pde/ Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Growing stripes

SpeakerArnd Scheel (University of Minnesota)

Abstract: I will give an overview of work that explores how spatial growth acts as a selection mechanism, focusing on the creation of "striped phases". A prototypical example is the Allen-Cahn equation with heterogeneity that renders the system bistable in a half plane and monostable in the complement. Expanding the bistable region leads to creation of patterns at the boundary of the bistable region. Beyond Allen-Cahn, I will comment on effects in Cahn-Hilliard, reaction-diffusion, and Swift-Hohenberg equations.

Seminar URLhttps://research.math.osu.edu/pde/

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