English

On initial-boundary value problem of the stochastic Navier--Stokes equations in the half space

Analysis of PDEs 2020-12-04 v1

Abstract

We study the initial-boundary value problem of the stochastic Navier--Stokes equations in the half space. We prove the existence of weak solutions in the standard Besov space valued random processes when the initial data belong to the critical Besov space.

Keywords

Cite

@article{arxiv.2012.01730,
  title  = {On initial-boundary value problem of the stochastic Navier--Stokes equations in the half space},
  author = {Tongkeun Chang and Minsuk Yang},
  journal= {arXiv preprint arXiv:2012.01730},
  year   = {2020}
}