Remark on the uniqueness of the mild solution of SQG equation

2023/12/21 by Tsukasa Iwabuchi, Iwabuchi, Tsukasa, R. Ueda +1
Mathematics · #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2312.14337

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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