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Home » Water waves and other interface problems (Part 2): Well-posedness for the dispersion-generalized Benjamin-Ono equation

Seminar

Water waves and other interface problems (Part 2): Well-posedness for the dispersion-generalized Benjamin-Ono equation March 30, 2021 (09:30 AM PDT - 10:30 AM PDT)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Albert Ai (University of Wisconsin-Madison)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Video

Well-Posedness for the Dispersion-Generalized Benjamin-Ono Equation

Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Abstract: In this talk we will consider the Cauchy problem for both low and high dispersive generalizations of the Benjamin-Ono equation. To address the nonlinear interactions, we use a pseudodifferential generalization of the gauge transform introduced by Tao, and combine this with a paradifferential normal form. This approach allows for a much simpler functional setting, and improves the known low regularity well-posedness threshold through the range of the dispersive generalization. This is joint work with Grace Liu.

 

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Well-Posedness for the Dispersion-Generalized Benjamin-Ono Equation