友谊&amp#183;交流&amp#183;合作&amp#183;发展.doc

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1、友谊·交流·合作·发展吉大——大工数学研讨会报告日程5月17日主持人：卢玉峰报告时间报告人报告题目9:30-9:45王仁宏AlgebraicfunctionandradialbasisfunctionAbstractInthistalk,wewilltalkaboutthealgebraicfunction,radialbasisfunction,andtheirapplicationsinthenumericalanalysis.9:45-10:00袁洪君一类具有真空的可压缩非牛顿流.10:00-10:15郑斯宁Interactionsbetweenlocalandlocalize

2、dsourcesinheatequationsThistopicinvolvesfourheatmodelswithbothlocalandlocalized　sources.Weareinterestedintheinteractionsbetweenthetwokinds　ofsources.Thefirsttwoofthemodelsshowhowthelocalized　sourcessubstantiallyinfluencethecriticalFujitaexponents.Itis　observedthattheymayadmitaninfiniteFujitaexp

3、onentbecauseof　thelocalizedsources.Theothertwo,heatsystemscoupledvia　localizedandlocalsourcesrespectively,willbeusedtoillustrate　totalversussinglepointblow-upofsolutionsunderthetwokinds　ofsourcesandthetwokindsofcouplingforms.10:15-10:30纪友清套代数的拓扑稳定秩摘要：我们证明了每个套代数的左、右拓扑稳定秩要么等于2，要么是无穷，同时我们给出了它2等于时的

4、充分必要条件。510:30-10:45王毅UnimodalityProblemsinCombinatoricsUnimodalityproblemsariseoftenincombinatoricsandotherbranchesofmathematics.InthistalkIwillgiveasurveyaboutourrecentresultsonthistopic,withspecialemphasisonlineartransformationspreservingthelog-concavity,thelog-convexityandthePólyafrequencypr

5、opertyofsequences.10:45-11:00闫广武自我复制元胞自动机动力学机理研究11:00-11:15刘西民Groupactionson4-manifoldsand108–theoremAbstractInthistalk,Asurveyofsometopicsaroundthe10　8–theoremisgiven.　Also,byusingFuruta’stechniqueof¯nitedimensionalapproximation　andtheequivariantK-theory,weimprovethe108–theoremunderthe　assumpt

6、ionthataspin4-manifoldadmitsaspinS4actionofeven　type.11:15-11:30李辉来分数阶微分方程研究的若干进展11:15-11:30张德悦手性介质中某些电磁散射问题研究55月18日主持人：高文杰8:00-8:15卢玉峰TheStabilizationProblemsforDiscreteTime-varyingLinearSystems1Abstract:Withintheframeworkofnestalgebras,thepurposeofthistalkistointroduce　arecentresultontheprobl

7、emofstabilizingafamilyofplants(resp.,robuststabilizability)　bymeansofastablecontroller.Wemainlyconsiderthestrongstabilizationproblemfora　time-varyinglinearsystemwhichadmitsacoprimefactorization.Wealsostudythesimul-　taneousandrobus