Existence of traveling pulses in excitable media with nonlocal diffusion

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Date(s) - 17/03/2015
11 h 00 min - 12 h 00 min


In this seminar, I will present some recent work on the existence of fast traveling pulses for a class of FitzHugh-Nagumo equations with nonlocal diffusion. Unlike the dynamical systems approach via geometric singular perturbation theory (Fenichel’s theorem and Exchange Lemma), the proof relies on matched asymptotics techniques and Fredholm properties of differential operators on suitable Banach spaces (Spectral Flow and Nonlocal Exchange Lemma). This is joint work with Arnd Scheel.


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