2 citations · 4 across the 8 of their papers we have counts for
8 papers · 1 filter
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…
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.…
Analyticity and large time behavior for the Burgers equation with the critical dissipation
Tsukasa Iwabuchi
This paper is concerned with the Cauchy problem of the Burgers equation with the critical dissipation. The well-posedness and analyticity in both of the space and the time variable…
On self-similar solutions to degenerate compressible Navier-Stokes equations
Pierre Germain, Tsukasa Iwabuchi, Tristan Léger
We study cavitating self-similar solutions to compressible Navier-Stokes equations with degenerate density-dependent viscosity. We prove both existence of expanders and non-existen…
Backward self-similar solutions for compressible Navier-Stokes equations
Pierre Germain, Tsukasa Iwabuchi, Tristan Léger
This article is devoted to backward self-similar blow up solutions of the compressible Navier-Stokes equations with radial symmetry. We show that such solutions cannot exist if the…
The Leibniz rule for the Dirichlet and the Neumann Laplacian
Tsukasa Iwabuchi
We study the bilinear estimates in the Sobolev spaces with the Dirichlet and the Neumann boundary condition. The optimal regularity is revealed to get such estimates in the half sp…