Research-2D Stochastic Chemotaxis-Navier-Stokes System

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2D Stochastic Chemotaxis-Navier-Stokes System

Speaker: Jianliang Zhai (University of Science and Technology of China)
Time: Sep 7, 2017, 09:50-10:50
Location: Conference Room 415, Wisdom Valley 3#

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.