报 告 人：翟建梁 中国科学技术大学
报告时间：2020年10月15日 15:00-18:00
地 点：腾讯会议 （ID： 627 675 648）
摘 要：In this talk, 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. We do not require these untypical assumptions.
报告人简介：
翟建梁，中国科学技术大学教授。 研究兴趣：三维随机Navier-Stokes方程弱解及正则性、大偏差理论。目前主持国家自然科学基金2项，参与国家自然科学基金、省部级基金若干项。在J. Funct. Anal., J. Differential Equations, J. Theoret. Probab. Bernoulli等杂志发表论文二十多篇。
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