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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.AP2025
Sharp well-posedness and ill-posedness of the stationary quasi-geostrophic equation
Mikihiro Fujii, Tsukasa Iwabuchi
We consider the stationary problem for the quasi-geostrophic equation on the whole plane and investigate its well-posedness and ill-posedness. In[Fujii, Ann. PDE 10, 10 (2024)], it…