2 papers
math.AP2026
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…
math.AP2024
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…