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学术科研

Probability & Statistics Seminar

2D Stochastic Chemotaxis-Navier-Stokes System

演讲者：翟建梁副教授(中国科技大学)
时间：2017-09-07 09:50-10:50
地点：慧园3栋 415报告厅

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.