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20132020
most citedEffective wall-laws for the Stokes equations over curved rough boundaries

6 citations · 9 across the 6 of their papers we have counts for

collaborators

6 papers

math.FA2020

Maximal -regularity of generators for bounded analytic semigroups in Banach spaces

Myong-Hwan Ri, Reinhard Farwig

In this paper, we prove that the generator of any bounded analytic semigroup in -type real interpolation of its domain and underlying Banach space has maximal -regulari…

math.AP2018★ 2 cited

Existence of incompressible and immiscible flows in critical function spaces on bounded domains

Myong-Hwan Ri, Ping Zhang

We study global existence and uniqueness of solutions to instationary inhomogeneous Navier-Stokes equations on bounded domains of , with initial velocity in $B^0_{q,…

math-ph2014

Maximal Regularity in Exponentially Weighted Lebesgue Spaces of the Stokes Operator in Unbounded Cylinders

Myong-Hwan Ri, Reinhard Farwig

We study resolvent estimates and maximal regularity of the Stokes operator in -spaces with exponential weights in the axial directions of unbounded cylinders of …

math.AP2014★ 1 cited

Resolvent Estimates and Maximal Regularity in Weighted Lebesgue Spaces of the Stokes Operator in Unbounded Cylinders

Myong-Hwan Ri, Reinhard Frawig

We study resolvent estimate and maximal regularity of the Stokes operator in -spaces with exponential weights in the axial directions of unbounded cylinders of ${\mathbb R}^n,…

math.AP2014

A Remark on the Leray's Problem on Stationary Navier-Stokes Flows with Large Fluxes in Infinite Cylindrical Domains

Myong-Hwan Ri

We consider Leray's problem on stationary Navier-Stokes flows with arbitrary large fluxes in an unbounded cylinder with several exits to infinity. For a stationary Navier-Stokes fl…

math-ph2013★ 6 cited

Effective wall-laws for the Stokes equations over curved rough boundaries

Myong-Hwan Ri

We derive effective wall-laws for Stokes systems with inhomogeneous boundary conditions in three dimensional bounded domains with curved rough boundaries. No-slip boundary conditio…