2D Stochastic Chemotaxis-Navier-Stokes System

Jianliang Zhai; Tusheng Zhang

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arXiv · 1702.04619

2D Stochastic Chemotaxis-Navier-Stokes System

Jianliang Zhai·Tusheng Zhang

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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.

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Jianliang Zhai, Tusheng Zhang. 2017-02-15. 2D Stochastic Chemotaxis-Navier-Stokes System. https://arxiv.org/abs/1702.04619

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