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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.