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math.AP2021
An application of spectral localization to critical SQG on a ball
Tsukasa Iwabuchi
We study the Cauchy problem for the quasi-geostrophic equations in a unit ball of the two dimensional space with the homogeneous Dirichlet boundary condition. We show the existence…
math.AP2021
Large-Time Behaviour of Solutions to the Surface Quasi-Geostrophic Equations
Dáithí Ó hAodha, Tsukasa Iwabuchi
We construct a linear approximation of the solution to the Surface Quasi-Geostrophic Equation in , and obtain a convergence rate in between the solution and thi…
math.AP2021★ 1 cited
On analyticity up to the boundary for critical quasi-geostrophic equations
Tsukasa Iwabuchi
We study the Cauchy problem for the quasi-geostrophic equations with the critical dissipation in the two dimensional half space under the homogeneous Dirichlet boundary condition.…