Zobrazeno 1 - 10
of 222
pro vyhledávání: '"Kozono, Hideo"'
The asymptotic behavior of solutions to the second order elliptic equations in exterior domains is studied. In particular, under the assumption that the solution belongs to the Lorentz space $L^{p,q}$ or the weak Lebesgue space $L^{p,\infty}$ with ce
Externí odkaz:
http://arxiv.org/abs/2406.12245
We study the stationary Navier--Stokes equations in the region between two rotating concentric cylinders. We first prove that, under the small Reynolds number, if the fluid is axisymmetric and if its velocity is sufficiently small in the $L^\infty$-n
Externí odkaz:
http://arxiv.org/abs/2305.08451
We study the asymptotic behavior of solutions to the steady Navier-Stokes equations outside of an infinite cylinder in $\mathbb{R}^3$. We assume that the flow is periodic in $x_3$-direction and has no swirl. This problem is closely related with two-d
Externí odkaz:
http://arxiv.org/abs/2208.03850
Publikováno v:
In Journal of Differential Equations 15 April 2024 388:59-81
Publikováno v:
Math. Ann. 380 (2021), 1105--1117
We study an asymptotic behavior of solutions to elliptic equations of the second order in a two dimensional exterior domain. Under the assumption that the solution belongs to $L^q$ with $q \in [2,\infty)$, we prove a pointwise asymptotic estimate of
Externí odkaz:
http://arxiv.org/abs/2004.13468
Publikováno v:
J. Funct. Anal. 282 (2022), 109289
We study the asymptotic behavior of axisymmetric solutions with no swirl to the steady Navier-Stokes equations in the outside of the cylinder. We prove an a priori decay estimate of the vorticity under the assumption that the velocity has generalized
Externí odkaz:
http://arxiv.org/abs/2004.13471
In this article the Helmholtz-Weyl decomposition in three dimensional exterior domains is established within the $L^r$-setting for $1
Externí odkaz:
http://arxiv.org/abs/1912.04452
Publikováno v:
In Journal of Differential Equations 25 August 2023 365:905-926
We consider the stationary and non-stationary Navier-Stokes equations in the whole plane $\mathbb{R}^2$ and in the exterior domain outside of the large circle. The solution $v$ is handled in the class with $\nabla v \in L^q$ for $q \ge 2$. Since we d
Externí odkaz:
http://arxiv.org/abs/1903.09969
Publikováno v:
In Journal of Differential Equations 5 January 2023 342:472-489