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PDE Seminar: Convexity of Whitham's wave of extreme form, Bruno Vergara (ICMAT, Madrid)

Seminarium

Tid: 2019-02-12 14:00 till: 15:00
Plats: MH:332B
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In this talk I will discuss a conjecture of Ehrnström and Wahlén on the profile of travelling wave solutions of extreme form to Whitham's non-local dispersive equation. We will see that there exists a highest, cusped and periodic solution that is convex between consecutive crests, at which $C^{1/2}$-regularity has been shown to be optimal. The talk is based on joint work with A. Enciso and J. Gómez-Serrano.