3 papers
math.AP2026
Uniqueness of the dissipative SQG without time-continuity assumption
Taiki Okazaki
We consider the uniqueness of the solution of the dissipative surface quasi-geostrophic equation, without assuming time-continuity and smallness of the solutions. We show that the…
math.AP2025
On the uniqueness of the quasi-geostrophic equation with the fractional Laplacian
Tsukasa Iwabuchi, Taiki Okazaki
We consider the uniqueness of the solution of the surface quasi-geostrophic equation with fractional Laplacian. We show that the uniqueness holds in non-homogeneous Besov spaces wi…
math.AP2024
On the uniqueness of the mild solution of the critical quasi-geostrophic equation
Tsukasa Iwabuchi, Taiki Okazaki
We demonstrate that the uniqueness of the mild solution of the two-dimensional quasi-geostrophic equation with the critical dissipation holds in the scaling critical homogeneous Be…