3 citations · 11 across the 21 of their papers we have counts for
23 papers
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…
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…
The Derivative Structure for a Quadratic Nonlinearity and Uniqueness for SQG
Tsukasa Iwabuchi
We study the two-dimensional surface quasi-geostrophic equation on a bounded domain with a smooth boundary. Motivated by the three-dimensional incompressible Navier-Stokes equation…
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…
Optimal Decay Estimates for the Radially Symmetric Compressible Navier-Stokes Equations
Tsukasa Iwabuchi, Dáithí Ó hAodha
We examine the large-time behaviour of solutions to the compressible Navier-Stokes equations under the assumption of radial symmetry. In particular, we calculate a fast time-decay…
Remark on the uniqueness of the mild solution of SQG equation
Tsukasa Iwabuchi, Ryoma Ueda
We study the two-dimensional surface quasi-geostrophic equation. Motivated by the uniqueness for the three-dimensional incompressible Navier-Stokes equations, we demonstrate that t…