A weighted setting for the stationary Navier Stokes equations under singular forcing
Numerical Analysis
2019-05-09 v1
Abstract
In two dimensions, we show existence of solutions to the stationary Navier Stokes equations on weighted spaces , where the weight belongs to the Muckenhoupt class . We show how this theory can be applied to obtain a priori error estimates for approximations of the solution to the Navier Stokes problem with singular sources.
Cite
@article{arxiv.1905.02804,
title = {A weighted setting for the stationary Navier Stokes equations under singular forcing},
author = {Enrique Otarola and Abner J. Salgado},
journal= {arXiv preprint arXiv:1905.02804},
year = {2019}
}