2D Stochastic Chemotaxis-Navier-Stokes System
Probability
2017-02-16 v1
Abstract
In this paper, we establish the existence and uniqueness of both mild(/variational) solutions and weak (in the sense of PDE) solutions of coupled system of 2D stochastic Chemotaxis-Navier-Stokes equations. The mild/variational solution is obtained through a fixed point argument in a purposely constructed Banach space. To get the weak solution we first prove the existence of a martingale weak solution and then we show that the pathwise uniqueness holds for the martingale solution.
Cite
@article{arxiv.1702.04619,
title = {2D Stochastic Chemotaxis-Navier-Stokes System},
author = {Jianliang Zhai and Tusheng Zhang},
journal= {arXiv preprint arXiv:1702.04619},
year = {2017}
}