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报告人：董昭 教授（中国科学院数学与系统科学研究院）

时间：2025年08月16日 10:00-

地点：理科楼LA103

摘要：In this talk, we establish the ergodic and mixing properties of stochas tic 2D Navier-Stokes equationsdriven by a highly degenerate multiplicative Gaussian noise. The noise can appear in as few as four directionsand its intensity depends on the solution, The case of additive Gaussian noise was previously treated by Hairerand Mattingly Ann. of Math., 164(3):993-1032, 2006l. To derive the ergodic and mixing properties in the presentsetting, we employ valliavin calculus to establish the asvmptotically strong feller prop erty, the primary challengclies in proving the " invertibility" of the Malliavin matrix, which differs fundamentally from the additive case.

邀请人：周国立

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