Remark on the uniqueness of the mild solution of SQG equation

Tsukasa Iwabuchi () and Ryoma Ueda ()
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Tsukasa Iwabuchi: Mathematical Institute, Tohoku University
Ryoma Ueda: Mathematical Institute, Tohoku University

Partial Differential Equations and Applications, 2024, vol. 5, issue 5, 1-9

Abstract: 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: Quasi-geostrophic equation; Mild solution; Uniqueness; 35Q35; 35Q86 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s42985-024-00301-2

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