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Mathematics > Analysis of PDEs

arXiv:2212.00117v2 (math)
[Submitted on 30 Nov 2022 (v1) , last revised 13 Mar 2023 (this version, v2)]

Title: Well-posedness for the surface quasi-geostrophic front equation

Title: 适用于表面准地转前沿方程的适定性

Authors:Albert Ai, Ovidiu-Neculai Avadanei
Abstract: We consider the well-posedness of the surface quasi-geostrophic (SQG) front equation. Hunter-Shu-Zhang [9] established well-posedness under a small data condition as well as a convergence condition on an expansion of the equation's nonlinearity. In the present article, we establish unconditional large data local well-posedness of the SQG front equation, while also improving the low regularity threshold for the initial data. In addition, we establish global well-posedness theory in the rough data regime by using the testing by wave packet approach of Ifrim-Tataru.
Comments: 36 pages. We have added some additional references, and fixed some minor typos
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35Q35
Cite as: arXiv:2212.00117 [math.AP]
  (or arXiv:2212.00117v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.2212.00117

Submission history

From: Ovidiu Neculai Avadanei [view email]
[v1] Wed, 30 Nov 2022 21:04:29 UTC (27 KB)
[v2] Mon, 13 Mar 2023 20:13:23 UTC (27 KB)
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