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中国科学院数学与系统科学研究院研究生导师简介-曹道民

数学与系统科学研究院 免费考研网/2013-11-14

曹道民,男,1963年出生,湖南常宁人。研究员、博士生导师、应用数学所所长。1979年9月至1983年8月湘潭大学数学系基础数学专业学习
1983年9月至1986年7月湘潭大学数学系计算数学专业学习,获硕士学位
1986年9月中科院武汉数学物理研究所读博士学位,1989年6月获博士学位
1989年7月至1996年4月中国科学院武汉数学物理研究所工作,历任助理研究员、副研究员、研究员
1996年入选中国科学院“百人计划”到中科院应用数学所工作,任研究员现任:中科院数学与系统科学研究院研究员、博士生导师主要学术访问:1991.09-1992.08法国巴黎第九大学决策数学研究中心作访问学者
1994.06-1994.09澳大利亚新南威尔士大学作访问学者
1995.06-1995.08澳大利亚新南威尔士大学作访问学者
1995.09-1995.11澳大利亚昆士兰大学作访问学者
1996.04-1997.06受洪堡基金资助在德国科隆大学和美茵滋大学作洪堡学者
1999.03-1999.06澳大利亚新南威尔士大学访问教授
2000.06-2000.08澳大利亚新南威尔士大学访问教授
2001.09-2001.11澳大利亚新南威尔士大学访问教授
2003.04-2003.06澳大利亚新南威尔士大学访问教授
2004.05    瑞士洛桑高工访问教授
2005.11-12   澳大利亚昆士兰大学访问教授社会兼职《应用数学学报》执行编委
《数学物理学报》执行编委
《JournalofPartialDifferentialEquations》执行编委
《系统科学与数学》执行编委研究方向目前主要从事非线性偏微分方程和非线性变分问题的研究,特别是应用非线性分析,如临界点理论来研究非线性偏微分方程解的存在性,多解性等。获得的主要奖励1999年中国科学院青年科学家奖一等奖(个人)
2001年第五届中国科学院杰出青年
2004年中国科学院优秀指导老师
2005年中国科学院优秀研究生指导教师奖
2006年中国科学院研究生院优秀教师在研项目1.杰出青年基金项目:“非线性偏微分方程”,2005-2008
2.国家自然科学基金重点项目《非线性椭圆与抛物型方程的理论及其应用研究》(批准号10631030,成员,2007.1-2010.12)
3.973项目《数学与其它领域交叉的若干专题》子项目"流体力学与材料科学中的偏微分方程"课题组成员,2007--2010
4.科学院重要方向性项目《数学物理中的若干重大问题》,首席科学家,2007.1--2010.12参加主持过的科研项目1.曾参加由丁夏畦院士主持的中科院重大项目"数学物理方程"的研究工作,是主要成员,项目已顺利完成
2.曾主持国家自然基金(青年)项目"无界域上变分形式的非线性椭圆型方程",1992年-1994年,批准号19101041
3.曾独立完成武汉市首届科技晨光计划项目"非线性椭圆型方程解的存在性研究",1993年-1995年,项目编号93CGA
4.曾参加国家自然基金项目"某些变分形式的拟线性椭圆型方程研究",为主要成员,1996年-1998年
5.得到中科院"百人计划"资助,1997年-1999年,终期评估时被科学院评为优秀,得到奖励
6.曾主持国家自然基金项目"无界域上变分形式的非线性椭圆型方?quot;,1999年-2001年,批准号19101041
7.曾主持中科院院长基金特别支持项目"非线性椭圆型方程解的研究",2000年---2001年
8.参加973项目"核心数学的若干前沿问题",是子项目"非线性偏微分方程"课题组成员,1999-2004论文论著1.CaoDaominandZhuXiping,1988,Ontheexistenceandnodalcharacterofsolutionsofsemilinearellipticequations,ActaMathematicaeScientia,Vol.8,no.3,345-395.
2.ZhuXipingandCaoDaomin,1989,Theconcentration-compactnessprincipleinnonlinearellipticequations,ActaMathematicaeScientia,Vol.9,no.1,307-323.
3.CaoDaomin,LiGongbaoandYanShusen,1989,BifurcationforquasilinearequationsonRwithnaturalgrowthconditions,ProceedingsoftheRoyalSocietyofEdinburgh,Vol.113A,no.3-4,215-228.
4.CaoDaomin,1990,PositivesolutionsandbifurcationfromtheessentialspectrumofasemilinearellipticequationonR,NonlinearAnalysisTMA,Vol.15,no.11,1045-1052.
5.CaoDaomin,1991,BifurcationforquasilinearellipticsystemonRwithnaturalgrowthconditions,JournalofLondonMathematicalSociety,Vol.44,no.3,514-524.
6.DaominCao,1992,NontrivialsolutionsofsemilinearellipticequationswithcriticalexponentinR,CommunicationsinPartialDifferentialEquations,Vol.17,no.3-4,407-435.
7.DaominCao,1993,ExistenceofpositivesolutionsofsemilinearellipticequationsinR,DifferentialandIntegralEquations,Vol.6,no.3,655-661.
8.CaoDaominandLiGongbao,1993,OnavariationalproblemproposedbyH.Brezis,NonlinearAnalysis,TMA,Vol.20,no.9,1145-1156.
9.CaoDaomin,1993,MultiplesolutionsofaNeumannprobleminanexteriordomain,CommunicationsinPartialDifferentialEquations,Vol.18,no.3,687-700.
10.CaoDaomin,1993,MultiplesolutionsofasemilinearellipticequationonR,Ann.Inst.HenriPoincare,Analysenonlineaire,Vol.10,no.6,593-604.
11.CaoDaomin,LiGongbaoandZhuHuansong,1994,MultiplesolutionsofimhomogenousellipticequationsinvolvingcriticalSobolevexponent,ProceedingoftheRoyalSocietyofEdinburgh,Vol.124A,no.6,1177-1191.
12.CaoDaomin,1995,EigenvalueproblemsandbifurcationsofsemilinearellipticequationsinR,NonlinearAnalysis,TMA,Vol.24,no.4,529-554.
13.CaoDaomin,1995,Positivesolutionsofasemilinearellipticequation,JournalofPartialDifferentialEquations,Vol.8,no.3,261-272.
14.CaoDaominandE.S.Noussair,1995,MultiplepositiveandnodalsolutionsforsemilinearellipticequationsinvolvingcriticalSobolevexponents,IndianaUniversityMathematicsJournal,Vol.44,no.4,1249-1271.
15.CaoDaominandZhouHuansong,1996,OntheexistenceofmultiplesolutionsofnonhomogenousequationsinvolvingcriticalSobolevexponent,Z.angew.Math.Phys,,Vol.47,no.1,89-96.
16.CaoDaomin,LiGongbaoandZhongXiao,1996,AnoteonthenumberofnonhomogenoussemilinearequationsinR,NonlinearAnalysisTMA,Vol.27,no.9,1095-1108.
17.DaominCaoandHuansongZhou,1996,MultiplepositivesolutionsofnonhomogenousequationsinRn,ProceedingsoftheRoyalSocietyofEdinburgh,Vol.126A,no.2,443-463.
18.DaominCaoandE.S.Noussair,1996,Multiplicityofpositiveandnodalsolutionsfornonlinearellipticproblems,AnnHenriPoincare,Analysenonlineaire,Vol.13,no.5,557-588.
19.DaominCaoandJChabrowski,1996,Onthenumberofpositivesolutionsfornonhomogenoussemilinearellipticproblems,AdvanceinDifferentialEquations,Vol.1,no.5,753-772.
20.DaominCao,E.N.Dancer,E.S.NoussairandShusenYan,1996,Ontheexistenceandprofileofmulti-peakedsolutionstosingularlyperturbedsemilinearDirichletproblems,DiscreteandContinuousDynamicalSystem,Vol.2,no.2,221-236.
21.DaominCao,GongbaoLiandHuansongZhou,1996,Multiplepositivesolutionsofnonhomogenousellipticequations,ChineseAnn.Math.,SeriesA,Vol.17,no.4,475-482.
22.DaominCaoandJ.Chabrowski,1997,Multiplesolutionsofnonhomogenousellipticproblemswithcriticalnonlinearity,DifferentialandIntegralEquations,Vol.10,no.5,791-814.
23.DaominCaoandXiaoZhong,1997,MultiplicityofpositivesolutionsforsemilinearellipticequationsinvolvingthecriticalSobolevexponents,NonlinearAnalysisTMA,Vol.29,no.4,461-483.
24.CaoDaomin,E.S.NoussairandShusenYan,1998,Existenceanduniqunessresultsonsingle-peakedsolutionsofasemilinearproblem,Ann.H.Poincare,Analysenonlineaire,Vol.15,no.1,73-111.
25.E.S.NoussairandDaominCao,1998,Multiplicityresultsforaninhomogenuousnonlinearellipticproblem,DifferentialandIntegralEquations,Vol.11,no.1,47-59.
26.DaominCao,1998,Anoteontheexistenceofmulti-peakedsolutionstoasemilinearellipticproblem,AdvancesinNonlinearDifferentialEquationsandRelatedAreas,WorldScientific.
27.DaominCaoandT.Kupper,1999,Ontheexistenceofmulti-peakedsolutionstoasemilinearNeumannproblem,DukeMathematicalJournal,Vol.97,no.2,261-300.
28.DaominCao,E.S.NoussairandS.Yan,1999,Solutionswithmultiple"peaks"fornonlinearellipticequations,ProceedingsoftheRoyalSocietyofEdinburgh,Vol.126A,235-264.
29.DaominCaoandE.S.Noussair,2000,Multi-peaksolutionsforasingularlyperturbedsemilinearellipticproblem,JournalofDifferentialEquations,Vol.166,266-289
30.DaominCaoandE.S.Noussair,2000,Existenceofsymmetricmulti-peakedsolutionstosingularlyperturbedsemilinearproblems,CommunicationsinPartialDifferentialEquations,Vol.25,2185-2232
31.DaominCao,E.S.NoussairandS.Yan,2001,Existenceandnonexistenceofinterior-peakedSolutionforanonlinearNeumannproblem,PacificMathematicsJournal,Vol.200,19-40.
32.DaominCao,M.LuciaandH.S.Zhou,2001,ANeumannprobleminexteriordomain,ManuscriptaMathematica,Vol.106,63-74.
33.DaominCaoandE.S.Noussair,2001,TheeffectofgeometryofdomainboundaryinanellipticNeumannproblem,AdvancesinDifferentialEquations,Vol.6,935-958.
34.DaominCao,E.S.NoussairandS.Yan,2001,SymmetricsolutionsforaNeumannprobleminvolvingcriticalexponent,ProceedingsoftheRoyalSocietyofEdinburgh,Vol.131A,1039-1064.
35.DaominCao,E.S.NoussairandS.Yan,2002,Onthescalarcurvatureequation-u=(1+K)uinR,CalculusofVariationandPartialDifferentialEquations,Vol.15,403-419.
36.DaominCaoandShuangjiePeng,2003,AcompactnessresultforsingularellipticproblemsinvolvingcriticalSobolevexponent,ProceedingsoftheAmericanMathematicalSociety,Vol.131,1857-1866.
37.DaominCaoandShuangjiePeng,2003,TheAsymptoticbehaviourofthegroundstatesolutionsforHenonequation,JournalofMathematicalAnalysisandapplications,Vol.278,1-17.
38.DaominCaoandH.P.Heinz,2003,Uniquenessofpositivemulti-lumpboundstatesofnonlinearSchrodingerequations,MathematischeZeitschrift,Vol243,599-642
39.DaominCaoandPigongHan,2003,AnoteonthepositiveenergysolutionsforellipticequationsinvolvingcriticalSobolevexponents,AppliedMathematicsLetters,Vol.16,1105-1113.
40.DaominCaoandPigongHan,2004,SolutionforsemilinearellipticequationswithcriticalexponentsandHardypotential,JournalofDifferentialEquations,Vol.205,521-537.
41.DaominCaoandE.S.Noussair,2004,Multi-bumpstandingwaveswithacriticalfrequencyfornonlinearSchrodingerequations,JournalofDifferentialEquations,Vol.203,292--312.
42.DaominCaoandPigongHan,2005,HighenergypositivesolutionforNeumannproblemofanellipticsystemofequationswithcriticalnonlinearities,CalculusofVariationandPartialDifferentialEquations,Vol.25,161-185.
43.DaominCaoandShuangjiePeng,2006,Multi-bumpboudedstatesofSchrodingerequationswithcriticalfrequency,MathematischeAnnalen,Vol.336,925-948.
44.DaominCaoandPigongHan,2006,Solutionstocriticalellipticequationswithmulti-singularinversesquarepotentials,JournalofDifferentialEquations,Vol.224,332-372.
45.DaominCaoandZhongweiTang,2006,Existenceanduniquenessofmulti-bumpboundedsatesofnonlinearSchrodingerequationswithelectromagneticfields,JournalofDifferentialEquations,Vol.222,189-205.
46.RaviP.Agarwal,DaominCao,H.S.LuandD.O'Regan,2006,Existenceandmultiplicityofpositivesolutionsforsingularsemipostonep-Laplacianequations,CanadianJournalofMathematics,Vol.58,449-475.
47.DaominCaoandShuangjiePeng,2006,Asymptoticbehaviorforellipticproblemswithsingularcoefficientandnearlycriticalpotential,Ann.Mat.PuraAppl.,Vol.185,189-205.
48.X.H.Tang,DaominCaoandX.F.Zou,2006,GlobalattractivityofpositiveperiodicsolutiontoLotka-Volterracompetitionsystemswithpuredelay,JournalofDifferentialEquations,Vol.228,580-610.
49.DaominCao,E.S.NoussairandS.Yan,2006,Multiplicityofasymptoticsolutionsfornonlinearellipticproblems,QuarterlyofAppliedMathematics,Vol.64,468-482.
50.SunChunyou,DaominCaoandJinqiaoDuan,2006,Non-autonomousdynamicsofwaveequationswithnonlineardampingandcriticalnonlinearity,Nonlinearity,Vol.19,2645-1665.
51.DaominCao,E.S.NoussairandS.Yan,Multiscale-bumpstandingwaveswithacriticalfrequencyfornonlinearSchrodingerequations,TransactionofAmericanMathematicalSociety,toappear.
52.WeiWang,DaominCaoandJinqiaoDuan,Effectivemacroscopicdynamicsofstochasticpartialdifferentialequationsinperforateddomains,SIAMJournalofMathematicalAnalysis,toappear
53.SunChunyou,DaominCaoandJinqiaoDuan,Uniformattractorsfornon-autonomouswaveequationswithnonlineardamping,SIAMJournalonAppliedDynamicalSystems,toappear

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