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math.AP2024
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…
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…
math.AP2024
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…