Stochastic 2D Navier-Stokes equations on time-dependent domains
Probability
2021-05-31 v1 Analysis of PDEs
Abstract
We establish the existence and uniqueness of solutions to stochastic 2D Navier-Stokes equations in a time-dependent domain driven by Brownian motion. A martingale solution is constructed through domain transformation and appropriate Galerkin approximations on time-dependent spaces. The probabilistic strong solution follows from the pathwise uniqueness and the Yamada-Watanable theorem.
Cite
@article{arxiv.2105.13565,
title = {Stochastic 2D Navier-Stokes equations on time-dependent domains},
author = {Wei Wang and Jianliang Zhai and Tusheng Zhang},
journal= {arXiv preprint arXiv:2105.13565},
year = {2021}
}