»ã±¨±êÌâ (Title)£ºForward-backward stochastic differential equation on tensor fields and the application on Navier-Stokes equations on Riemannian manifold (ÕÅÁ¿³¡ÉϵÄÕýµ¹ÏòËæ»ú΢·Ö·½³Ì¼°ÆäÔÚÀèÂüÁ÷ÐÎÉϵÄNavier-Stokes·½³ÌÉϵÄÀûÓÃ)

»ã±¨ÈË (Speaker)£º³Âê¿ ³¤Æ¸¸±½ÌÊÚ£¨ÉϺ£½»Í¨´óѧ£©

»ã±¨¹¦·ò (Time)£º2022Äê8ÔÂ31ÈÕ (ÖÜÈý) 15:00

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒ飨»áÒéºÅ£º742-421-094 ÎÞÃÜÂ룩

Ô¼ÇëÈË(Inviter)£ºÑô·Ò·Ò

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»ã±¨ÌáÒª£ºWe introduce a class of forward-backward equation on tensor fields which has a connection with quasi-linear partial differential equation on tensor fields. As an application, we will provide a stochastic representation for Navier-Stokes equation on a Riemannian manifold. Based on this representation, we will give a stochastical proof about local existence of a solution for Navier-Stokes equation on a Riemannian manifold. This talks is based on a joint work with A.B. Cruzeiro, Wenjie Ye and Qi Zhang.