4 papers · 1 filter
Unique existence of solutions to the inviscid SQG equation in a critical space
Tsukasa Iwabuchi
We study the Cauchy problem for the surface quasi-geostrophic (SQG) equations in a two-dimensional bounded domain with the homogeneous Dirichlet boundary condition. We establish th…
Incompressible Euler equations in 3D bounded domains in a critical space
Tsukasa Iwabuchi, Hideo Kozono
We consider the 3D incompressible Euler equations in bounded domains with smooth boundary . Based on the paper by Iwabuchi, Matsuyama and Taniguchi (2019), we define…
Higher-order derivative estimates for the parabolic Lamé system on a smooth bounded domain
Yoshinori Furuto, Tsukasa Iwabuchi
We consider the parabolic Lamé system on a bounded domain. We focus on two types of inequalities for higher-order derivatives of solutions. The first is related to an - e…
Besov space approach to the Navier-Stokes equations with the Neumann boundary condition in bounded domains
Tsukasa Iwabuchi, Hideo Kozono
Based on the analysis by Iwabuchi-Matsuyama-Taniguchi (2019), we first introduce our framework of Besov spaces on the bounded domain with…