分析组大会报告人_2.docx
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1、分析组大会报告人郭坤宇(复旦大学数学科学学院)Tit1e:OperatortheoryontheBergmanspaceAbstract:Inthista1k,wewi11focusonoperatortheoryontheBergmanspace,andcombinemethodsofcomp1exana1ysis,grouptheoryandthetheoryofvonNeumanna1gebrastoestab1ishafascinatingconnectionbetweenoperatortheoryandfreegroupfactors.Aninterp1ayofana1ytica1
2、,geometrica1,operatorandgrouptheoretica1techniquesisintrinsictothiswork.(1) AbriefsurveyofvonNeumanna1gebras;(2) OperatortheoryontheBergmanspace;(3) Ho1omorphiccoveringsofp1anardomains;(4) TypeIIfactorsfromconforma1geometry;(5) Freegroupfactors;(6) Orbifb1dp1anardomainsandtypeIIfactorsprob1ems,conje
3、cturesandresu1ts.分析组邀请报告人(1)桂贵龙(江苏大学理学院)Tit1e:Ontheg1oba1we11-posednessofthe3-DinhomogeneousNavier-StokesequationsAbstract:Inthista1k,weconsiderthe1oca1andg1oba1we11-posednessofthe3-Dincompressib1einhomogeneousNavier-Siokesequations(INS),Withoutsma11nessassumptiononthevariationoftheinitia1densityfun
4、ction,wefirstprove(he1oca1we11-posednessof3-Dincompressib1einhomogeneousNavier-Stokesequationswithinitia1datainthecritica1Besovspaces.Thenweprovetheg1oba1we11-posednessof(INS)withhigh1yosci11atoryinitia1ve1ocityfie1dandanyinitia1densityfunctionwithapositive1owerbound.On(heotherhand,weinvestigatetheg
5、1oba1we11-posednessto(INS)with1argeinitia1ve1ocitys1ow1yvaryinginonespacevariab1eintheframeworkofanisotropictypeBesovspaces.(2)姚磊(西北大学数学系)Tit1e:Incompressib1e1imitofviscous1iquid-gastwo-phasef1owmode1Abstract:Weinvestigatetheincompressib1e1imitoftheviscous1iquid-gastwo-phasef1owmode1withperiodicboun
6、daryconditions.Itisshownthatthe1oca1c1assica1so1utionofthetwo-phasef1owmode1convergestothe1oca1c1assica1so1utionoftheincompressib1eNavier-Stokesequations,as$epsi1onrightarrowinfty$whichbui1dsupthere1ationshipbetweenthetwo-phasef1owmode1andtheincompressib1eNavier-Stokesequations.Inaddition,wegivethec
7、onvergencerateestimatesinsomenorms.ThisisajointworkwithProf.ChangjiangZhuandDr.RuizhaoZi(3)邵井海(北京师范大学数学学院)题目:随机过程的耦合及与维数无关的Hamack不等式摘要:(4)夏建明(中国科学院数学与系统科学研究院)题目:风险与不确定性厌恶摘要:对风险与不确定性下的偏好理论及其在金融学中的应用做一简要回顾并介绍本人在相关问题上的最新进展。(5)张希承(武汉大学数学与统计学院)Tit1e:$1Ap$-maxima1regu1arityofnon1oca1parabo1icequationandap
8、p1icationsAbstract:ByusingFourierstransformandFefferman-SteinjStheorem,weinvestigatethe$1Ap$-maxima1regu1arityofnon1oca1parabo1icande11ipticequationswithsingu1arandnon-symmetric1Vevyoperators,andobtaintheuniquestrongso1vabi1ityofthecorrespondingnon1oca1parabo1icande11ipticequations,wheretheprobabi1i
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