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Talk

Depinning asymptotics in ergodic media

  • Sergey Tikhomirov
E1 05 (Leibniz-Saal)

Abstract

We study speeds of fronts in bistable, spatially inhomogeneous media at parameter regimes where speeds approach zero. We provide a set of conceptual assumptions under which we can prove power-law asymptotics for the speed, with exponent depending a local dimension of the ergodic measure near extremal values. We also show that our conceptual assumptions are satisfied in a context of weak inhomogeneity of the medium and almost balanced kinetics.

The talk is based on a joint work with A. Scheel

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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