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arXiv:2312.14337 [math.AP]AbstractReferencesReviewsResources

Remark on the uniqueness of the mild solution of SQG equation

Tsukasa Iwabuchi, Ryoma Ueda

Published 2023-12-21Version 1

We study the two-dimensional surface quasi-geostrophic equation. Motivated by the uniqueness for the three-dimensional incompressible Navier-Stokes equations, we demonstrate that the uniqueness of the mild solution of the two-dimensional surface quasi-geostrophic equation holds in the scaling critical Lebesgue space with a unique structure of the non-linear term.

Comments: 10 pages
Categories: math.AP
Subjects: 35Q35, 35Q86
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