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math.AP2025
Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space
Motofumi Aoki, Yasunori Maekawa
In this paper we show the non-uniqueness of mild solutions to the two-dimensional forced Navier-Stokes equations in the half space under the noslip boundary condition, following th…
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…
math.AP2022★ 1 cited
Energy conservation law for weak solutions of the full compressible Navier-Stokes equations
Motofumi Aoki, Tsukasa Iwabuchi
We consider a sufficient condition for the energy conservation law of a weak solution for the full compressible Navier-Stokes equations on the torus. We prove that a weak solution…