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Title (deu)
Low regularity well-posedness for the generalized surface quasi-geostrophic front equation
Speaker / Lecturer
Ovidiu-Neculai Avadanei
UC, Berkeley
Description (deu)
We consider the well-posedness of the generalized surface quasi-geostrophic (gSQG) front equation. By making use of the null structure of the equation, we carry out a paradifferential normal form analysis in order to obtain balanced energy estimates, which allows us to prove the local well-posedness of the g-SQG front equation in the non-periodic case at a low level of regularity (in the SQG case, this is only one half of a derivative above scaling). In addition, we establish global well-posedness 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.
Keywords (deu)
Nonlinear WavesRelativity
Subject (eng)
ÖFOS 2012 -- 103 -- Physics, Astronomy
Type (eng)
Language
[eng]
Persistent identifier
https://phaidra.univie.ac.at/o:2066882
Date created
2024-05-14
Place of creation (eng)
ESI
Duration
14 minutes 24 seconds
Content
Details
Object type
Video
Format
video/mp4
Created
17.05.2024 12:11:45
Metadata