Depinning asymptotics in ergodic media

Speaker: Sergey Tikhomirov (IMPA)

Date: 23 sep 2022, 14h.

Place: Room 407, Bloco H, Campus Gragoatá, UFF.

Abstract:

We study speeds of traveling waves 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. The approach is based on invariant manifolds of dynamical systems in infinite-dimensional space, group actions and ergodic theory.

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