10月2日概率统计系列讲座 :
报告题目:【Well-posedness of Stochastic 2D Hydrodynamics type Systems with Multiplicative Levy Noises】
时间:2020年10月2日 (星期五) 上午10:00
地点:腾讯会议(会议ID:978 611 814)
主讲:中国科学技术大学教授,翟建梁
主办:数学与信息学院
参加对象:统计系老师与学生
报告摘要:We establish the existence and uniqueness of solutions to an abstract nonlinear equation driven by a multiplicative noise of Levy type, which covers many hydrodynamical models including 2D Navier-Stokes equations, 2D MHD equations, the 2D Magnetic Bernard problem, and several Shell models of turbulence. In the existing literature on this topic, besides the classical Lipschitz and one sided linear growth conditions, other assumptions, which might be untypical, are also required on the coefficients of the stochastic perturbations. In this paper, we do not require these untypical assumptions.