Remark on the uniqueness of the mild solution of SQG equation

Tsukasa Iwabuchi; Ryoma Ueda

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arXiv · 2312.14337

Remark on the uniqueness of the mild solution of SQG equation

Tsukasa Iwabuchi·Ryoma Ueda

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Abstract

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.

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Tsukasa Iwabuchi, Ryoma Ueda. 2023-12-21. Remark on the uniqueness of the mild solution of SQG equation. https://arxiv.org/abs/2312.14337

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