»ã±¨±êÌâ (Title)£º¹ØÓÚºÄÉ¢QG·½³ÌµÄ¹ãÒåÆæ¹Ö»ý·ÖµÄÐÔÖÊ

»ã±¨ÈË (Speaker)£º³ÂÑÞƼ ½ÌÊÚ£¨±±¾©¿Æ¼¼´óѧ£©

»ã±¨¹¦·ò (Time)£º2022Äê1ÔÂ13ÈÕ(ÖÜËÄ) 9:00

»ã±¨µØÖ· (Place)£ºÏßÉÏÌÚѶ»áÒé£¬»áÒé ID£º291-255-332

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»ã±¨ÌáÒª£ºThis talk is concerned with a kind of singular integrals T_\beta which can be viewed as an extension of the classical Calder\'{o}n-Zygmund type singular integral. This kind of singular integrals appears in the the generalized 2D dissipative quasi-geostrophic (QG) equation. First, we give a relationship between T_\beta and a Calder\'{o}n-Zygmund singular integral operator for \beta\in [0,n). Moreover, we give an uniform sparse domination for the generalized singular integral operators T_\beta for \beta\in [0, n). Finally, we study solutions to the generalized 2D dissipative quasi-geostrophic (QG) equation. We prove existence of global weak solutions, weak solutions also exist globally but are proven to be unique only in the class of strong solutions and obtain the detailed aspects of large time approximation.