分析组大会报告人

《分析组大会报告人》由会员上传分享，免费在线阅读，更多相关内容在工程资料-天天文库。

1、分析组大会报告人郭坤宇(复旦大学数学科学学院)Title：OperatortheoryontheBergmanspaceAbstract：Inthistalk,wewillfocusonoperatortheoryontheBergmanspace,andcombinemethodsofcomplexanalysis,grouptheoryandthetheoryofvonNeumannalgebrastoestablishafascinatingconnectionbetweenoperatortheoryandfreegroupf

2、actors.Aninterplayofanalytical,geometrical,operatorandgrouptheoreticaltechniquesisintrinsictothiswork・(1)AbriefsurveyofvonNeumannalgebras;(2)OperatortheoryontheBergmanspace;(3)Holomorphiccoveringsofplanardomains;(4)TypeIIfactorsfromconformalgeometry;(5)Freegroupfactors;

3、(6)OrbifoldplanardomainsandtypeIIfactorsproblems,conjecturesandresults・分析组邀请报告人(1)桂贵龙(江苏大学理学院)Title:Ontheglobalwell-posednessofthe3-DinhomogeneousNavier-StokesequationsAbstract:Inthistalk,weconsiderthelocalandglobalwell-posednessofthe3-DincompressibleinhomogeneousNavier

4、-Stokesequations(INS).Withoutsmallnessassumptiononthevariationoftheinitialdensityfunction,wefirstprovethelocalwell-posednessof3-DincompressibleinhomogeneousNavier-StokesequationswithinitialdatainthecriticalBesovspaces・Thenweprovetheglobalwell-posednessof(INS)withhighlyo

5、scillatoryinitialvelocityfieldandanyinitialdensityfunctionwithapositivelowerbound.Ontheotherhand,weinvestigatetheglobalwell-posednessto(INS)withlargeinitialvelocityslowlyvaryinginonespacevariableintheframeworkofanisotropictypeBesovspaces・(2)姚磊(西北大学数学系)Title:Incompressib

6、lelimitofviscousliquid・gastwo-phaseflowmodelAbstract:Weinvestigatetheincompressiblelimitoftheviscousliquid-gastwo-phaseflowmodelwithperiodicboundaryconditions・Itisshownthatthelocalclassicalsolutionofthetwo-phaseflowmodelconvergestothelocalclassicalsolutionoftheincompres

7、sibleNavier-Stokesequations,as$epsilonrightan-owinfty$whichbuildsuptherelationshipbetweenthetwo-phaseflowmodelandtheincompressibleNavier-Stokesequations・Inaddition,wegivetheconvergencerateestimatesinsomenorms.ThisisajointworkwithProf.ChangjiangZhuandDr.RuizhaoZi（3）邵井

8、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Hcirnack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耍