Time-periodic Stokes equations with inhomogeneous Dirichlet boundary conditions in a half-space
Analysis of PDEs
2018-10-09 v2
Abstract
The time-periodic Stokes problem in a half-space with fully inhomogeneous right-hand side is investigated. Maximal regularity in a time-periodic Lp setting is established. A method based on Fourier multipliers is employed that leads to a decomposition of the solution into a steady-state and a purely oscillatory part in order to identify the optimal function spaces.
Keywords
Cite
@article{arxiv.1809.02424,
title = {Time-periodic Stokes equations with inhomogeneous Dirichlet boundary conditions in a half-space},
author = {Aday Celik and Mads Kyed},
journal= {arXiv preprint arXiv:1809.02424},
year = {2018}
}