Home /  FD2 Reunion Seminar: Low Regularity Well-Posedness for the Surface Quasi-Geostrophic Front Equation

Seminar

FD2 Reunion Seminar: Low Regularity Well-Posedness for the Surface Quasi-Geostrophic Front Equation July 25, 2023 (01:00 PM PDT - 02:00 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Ovidiu-Neculai Avadanei (University of California, Berkeley)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

FD2 Reunion Seminar: Low Regularity Well-Posedness For The Surface Quasi-Geostrophic Front Equation
Abstract/Media

We consider the well-posedness of the surface quasi- geostrophic (SQG) front equation. In the present paper, by making use of the null structure of the equation, we carry out a paradif-ferential normal form analysis in order to obtain balanced energy estimates, which allows us to prove the low regularity local well- posedness of the SQG front equation in the non-periodic case at a level of regularity that is only one half of a derivative above scaling. In addition, we establish global well-posedness theory for small and localized rough initial data, as well as modified scattering, by using the testing by wave packet approach of Ifrim-Tataru.

This is joint work with Albert Ai.

Meeting ID: 998 5718 9855

Passcode: 983468

Link: https://msri.zoom.us/j/99857189855?pwd=LzRFR2tPN1cydWJNZEZkclZGV2lpQT09

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FD2 Reunion Seminar: Low Regularity Well-Posedness For The Surface Quasi-Geostrophic Front Equation