12 citations · 19 across the 12 of their papers we have counts for
12 papers
Wall laws for viscous flows in 3D randomly rough pipes: optimal convergence rates and stochastic integrability
Mitsuo Higaki, Yulong Lu, Jinping Zhuge
This paper is concerned with effective approximations and wall laws of viscous laminar flows in 3D pipes with randomly rough boundaries. The random roughness is characterized by th…
Axisymmetric steady Navier-Stokes flows under suction
Mitsuo Higaki
We prove the existence of solutions for the axisymmetric steady Navier-Stokes system around an infinite cylinder under external forces. The solutions are constructed to be decaying…
Existence of steady Navier-Stokes flows exterior to an infinite cylinder
Mitsuo Higaki, Ryoma Horiuchi
We consider the three-dimensional steady Navier-Stokes system in the exterior of an infinite cylinder under the action of an external force. We construct solutions in the class of…
Stability of planar exterior stationary flows with suction
Mitsuo Higaki
We consider the two-dimensional Navier-Stokes system in a domain exterior to a disk. The system admits a stationary solution with critical decay written as a linear c…
Existence of planar non-symmetric stationary flows with large flux in an exterior disk
Mitsuo Higaki
This paper is concerned with the two-dimensional stationary Navier-Stokes system in the domain exterior to the unit disk. The existence of solutions with critical decay $O(|x|^{-1}…
Higher-order boundary layers and regularity for Stokes systems over rough boundaries
Mitsuo Higaki, Jinping Zhuge
In this paper, we study the large-scale boundary regularity for the Stokes system in periodically oscillating John domains. Our main contribution is the construction of boundary la…
Large-scale regularity for the stationary Navier-Stokes equations over non-Lipschitz boundaries
Mitsuo Higaki, Christophe Prange, Jinping Zhuge
In this paper we address the large-scale regularity theory for the stationary Navier-Stokes equations in highly oscillating bumpy John domains. These domains are very rough, possib…
Regularity for the stationary Navier-Stokes equations over bumpy boundaries and a local wall law
Mitsuo Higaki, Christophe Prange
We investigate regularity estimates for the stationary Navier-Stokes equations above a highly oscillating Lipschitz boundary with the no-slip boundary condition. Our main result is…
Note on the stability of planar stationary flows in an exterior domain without symmetry
Mitsuo Higaki
The asymptotic stability of two-dimensional stationary flows in a non-symmetric exterior domain is considered. Under the smallness condition on initial perturbations, we show the s…
On stationary two-dimensional flows around a fast rotating disk
Isabelle Gallagher, Mitsuo Higaki, Yasunori Maekawa
We study the two-dimensional stationary Navier-Stokes equations describing flows around a rotating disk. The existence of unique solutions is established for any rotating speed, an…
On the two-dimensional steady Navier-Stokes equations related to flows around a rotating obstacle
Mitsuo Higaki, Yasunori Maekawa, Yuu Nakahara
We study the two-dimensional stationary Navier-Stokes equations with rotating effect in the whole space. The unique existence and the asymptotics of solutions are obtained without…
On stationary Navier-Stokes flows around a rotating obstacle in two-dimensions
Mitsuo Higaki, Yasunori Maekawa, Yuu Nakahara
We study the two-dimensional stationary Navier-Stokes equations describing the flows around a rotating obstacle. The unique existence of solutions and their asymptotic behavior at…