Remark on the uniqueness of the mild solution of SQG equation

Tsukasa Iwabuchi; Ryoma Ueda

Remark on the uniqueness of the mild solution of SQG equation

Analysis of PDEs 2023-12-25 v1

Authors: Tsukasa Iwabuchi , Ryoma Ueda

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.

Keywords

surface quasi-geostrophic equation mild solution uniqueness scaling critical Lebesgue space nonlinear term

Cite

@article{arxiv.2312.14337,
  title  = {Remark on the uniqueness of the mild solution of SQG equation},
  author = {Tsukasa Iwabuchi and Ryoma Ueda},
  journal= {arXiv preprint arXiv:2312.14337},
  year   = {2023}
}

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10 pages

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