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math.AP2023
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…
math.AP2023★ 1 cited
Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier-Stokes Equations
Tsukasa Iwabuchi, Dáithí Ó hAodha
We discuss optimal estimates of solutions to the compressible Navier-Stokes equations in Besov norms. In particular, we consider the estimate of the curl-free part of the solution…
math.AP2023
On the ill-posedness for the full system of compressible Navier-Stokes equations
Motofumi Aoki, Tsukasa Iwabuchi
We consider the Cauchy problem for compressible Navier--Stokes equations of the ideal gas in the three-dimensional spaces. It is known that the Cauchy problem in the scaling critic…