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个人简介

个人简历: 1978.03―1982.01吉林大学数学系本科生 1984.09―1988.12吉林大学数学所硕士、博士研究生 1982.01―1992.09吉林大学数学学院助教、讲师、副教授 1992.10―2010.04吉林大学数学学院教授 1994.12―2010.04吉林大学数学学院博士生导师 2010.04―现在华南师范大学数学科学学院教授、博士生导师 主要讲授课程: 数学分析、数学物理方程、椭圆型方程、抛物型方程、非线性扩散方程、数学分析技巧、现代分析学选讲 指导研究生情况: 毕业博士生22人(现有教授11人,博士生导师8人,副教授7人,讲师4人)、在读博士生2人、在读硕士生1人 应邀出访经历: 先后应邀访问新加坡国立大学、香港中文大学、香港城市大学、香港科技大学、澳洲国立大学等。 主持的主要科研项目: 1.《具退化性和奇异性的非线性扩散方程》,国家杰出青年基金项目,2002―2005; 2.《具奇异性的非线性扩散方程》,高等学校博士学科点专项科研基金项目,2012―2014;2009―2011;2004 ―2006; 3.《图像处理中的偏微分方程方法及其数值方法》,国家自然科学基金重点项目,2006―2009; 4.《非线性扩散方程的定性理论》,国家自然科学基金面上项目,2014―2017;2011―2013; 5.《扩散现象中的某些非线性问题》,霍英东青年教师基金,1992. 主持的主要教学项目: 1.《数学分析》,教育部基地创名牌课程项目,2003―2005; 2.《数学物理方程》,国家精品课项目,2007. 科研成果 01.香港求是科技基金会“杰出青年学者奖”,2001; 02.教育部“长江学者奖励计划”特聘教授,2001; 03.教育部科学技术进步一等奖(排名第二),1999; 04.国家级教学名师,2008; 05.教育部高等学校自然科学二等奖(排名第一),2009; 06.指导的博士生获全国百篇优秀博士论文奖,2006; 07.教育部高等学校优秀骨干教师,2002; 08.宝钢优秀教师奖,2006; 09.吉林省师德标兵,2006; 10.吉林省劳动模范,2009; 11.教育部跨世纪优秀人才,1997. 12.国务院政府特殊津贴,1995. 13.霍英东青年教师基金,1992. 14.长春市五一劳动奖章,2007. 出版教材 1.非线性扩散方程,吉林大学出版社,1996年; 2.NonlinearDiffusionEquations,WorldScientificPublishingCo.,Inc.,RiverEdge,NJ,2001; 3.椭圆与抛物型方程引论,科学出版社,2003年; 4.数学分析,高等教育出版社,2004年; 5.EllipticandParabolicEquations,WorldScientificPublishingCo.,Inc.,RiverEdge,NJ,2006; 6.数学分析中的方法与技巧,高等教育出版社,2009年; 7.数学物理方程,高等教育出版社,2010年.

研究领域

非线性扩散方程

近期论文

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2010年以来发表的主要学术论文: Controllabilityoflineardegeneratepseudo-parabolicequation,MathematicalControlandRelatedFields,10(1)(2020),157--169.jointwithDr.MumingZhangandTianyuanXu Onachemotaxismodelwithdegeneratediffusion:Initialshrinking,eventualsmoothnessandexpanding,JounalofDifferentialEquations,268(2020),414--446.jointwithTianyuanXu,Shanmingji,Prof.MingMei. Asemilinearpseudo-parabolicequationwithinitialdatanon-rarefiedat$\infty$,JournalofFunctionalAnalysis,277(10)(2019),3737--3756.jointwithDr.YangCaoandDr.ZhiyongWang Travelingwavesfortime-delayedreactiondiffusionequationswithdegeneratediffusion,JournalofDifferentialEquations,265(9)(2018),4442--4485.jointwithTianyuanXu,ShanmingJiandProf.MingMei ComplicatedAsymptoticBehaviorofSolutionsforPorousMediumEquationinUnboundedSpace,JournalofDifferentialEquations,264(10)(2018),6302--6324.jointwithProf.LiangweiWang ExistenceandStabilityofTravelingWavesforDegenerateReaction-DiffusionEquationwithTimeDelay,JournalofNonlinearSciences,(2018).jointwithProf.RuiHuang,Prof.ChunhuaJinandProf.MingMei. AsymptoticBehaviorofSolutionsforaDoublyDegenerateParabolicEquationnotinDivergenceForm,RockyMountainJournalofMathematics,47(2)(2017),479--510.jointwithProf.ChunhuaJin Instantaneousshrinkingandextinctionforanon-Newtonianpolytropicfiltrationequationwithorientatedconvection,DiscreteandContinuousDynamicalSystems,SeriesB,22(4)(2017),1743--1755.jointwithDr.HailongYe Instabilityofpositiveperiodicsolutionsforsemilinearpseudo-parabolicequationswithlogarithmicnonlinearity,JournalofDifferentialEquations,261(10)(2016),5446--5464.jointwithDr.ShanmingJiandDr.YangCao IsolatedSingularitiesofPositiveSolutionstotheWeighted$p$-Laplacian,CalculusofVariationsandPartialDifferentialEquations,55(2)(2016),Art.28,16pp.jointwithProf.SongHuijuanandProf.WangZejia. SmallPerturbationofaSemilinearPseudo-parabolicEquation,DiscreteContin.Dyn.Syst.,36(2)(2016),631--642.jointwithDr.YangCao Non-sharptravellingwavesforadualporousmediumequation,CommunicationsonPureandAppliedAnalysis,15(2)(2016),623--636.jointwithDr.JingLiandProf.YifuWang UniquenessofSelf-SimilarJingLi,YifuWangJingLi,YifuWangVerySingularSolutionofNon-NewtonianPolytropicEquationwithGradientAbsorption,Electron.J.Diff.Equ.,Vol.2015(2015),No.83,pp.1-9.jointwithDr.HailongYe ANoteonSemilinearHeatEquation421(2)(2015),1225--1237.inHyperbolicSpace,JournalofDifferentialEquations,256(3)(2014),1151--1156.jointwithDr.ZhiyongWang CriticalFujitaabsorptionexponentfortheevolutionary$p$-Laplacianwithinnerabsorptionandboundaryflux,DifferentialandIntegralEquations,27(7-8)(2014),643--658.jointwithProf.ChunhuaJinandProf.SiningZheng YoungMeasureSolutionsofaClassofForward-BackwardConvection-DiffusionEquations,QuarterlyofAppliedMathematics,72(1)(2014),177--192.jointwithProf.ChunpengWangandDr.YuanyuanNie. SomePropertiesofWeakSolutionstotheWeighted$p$-LaplaciannearanIsolatedSingularPoint,ProceedingsoftheRoyalSocietyofEdinburgh:SectionA,144A(2)(2014),395--425.jointwithProf.HuijuanSong $\omega$-LimitSetsforPorousMediumEquationwithInitialDatainSomeWeightedSpaces,DiscreteandContinuousDynamicalSystems:SeriesB,18(1)(2013),223--236.jointwithProf.LiangweiWangandProf.ChunhuaJin. TravelingWavefrontsforatimedelayedNewtonianFiltrationEquation,JournalofDifferentialEquations,254(1)(2013),1--29.jointwithProf.ChunhuaJinandProf.SiningZheng ExistenceofPositiveSolutionsforthe$p(x)$-LaplacianEquation,RockyMountainJournalofMathematics,42(5)(2012),1675--1758.jointwithProf.JinkaiLiandProf.YuanyuanKe TravelingWavesofaNon-NewtonianFiltrationEquationwithDelay,PhysicaD:NonlinearPhenomena,241(21)(2012),1789--1803.JointwithProf.ChunhuaJin RemovableIsolatedSingularitiesofSolutionstotheWeighted$p$-LaplacianwithSingularConvection,MathematicalMethodsintheAppliedSciences,35(9)(2012),1089--1100.jointwithProf.HuijuanSong CriticalExponentsofaDoublyDegenerateNon-DivergentParabolicEquationwithInteriorandBoundarySources,MathematischeNachrichten,285(5-6)(2012),758--777.jointwithProf.ChunhuaJin WaitingTimeforanon-NewtonianPolytropicFiltrationEquationwithConvection,JournalofDifferentialEquations,252(9)(2012),4862--4885.jointwithProf.ChunhuaJinandProf.TongYang PeriodicSolutionsofaNon-DivergentDiffusionEquationwithNonlinearSources,DiscreteandContinuousDynamicalSystem,SeriesB,17(1)(2012),101--126.jointwithProf.ChunhuaJin ComplexityofAsymptoticBehaviorofthePorousMediumEquationin$\mathbb{R}^N$,JournalofEvolutionEquations,11(2)(2011),429--455.jointwithProf.LiangweiWangandProf.RuiHuang TheviscousCahn-Hilliardequationwithperiodicpotentialsandsources,JournalofFixedPointTheoryandApplications,9(1)(2011),63--84.jointwithProf.YinghuaLi Ontheexistenceofnonnegativecontinuoussolutionsforaclassoffullynonlineardegenerateparabolicequations,Zeitschriftf\"urangewandteMathematikundPhysik,61(5)(2010),835--847.jointwithDr.JingLiandProf.ChunhuaJin ExistenceofSolutionsforthe$p$-LaplacianwithCriticalSobolevExponentandConvection,ApplicableAnalysis,89(10)(2010),1575--1590.jointwithProf.JinkaiLiandProf.YuanyuanKe Anti-ShiftingPhenomenonofaConvectiveNonlinearDiffusionEquation,DiscreteandContinuousDynamicalSystemsSeriesB,14(3)(2010),1211--1236.jointwithProf.ChunpengWangandDr.BiboLu Largetimebehaviorofsolutionstonon-Newtonianfiltrationequationwithnonlinearboundarysources,ProceedingsoftheRoyalSocietyofEdinburgh:SectionAMathematics,140(4)(2010),833--855.jointwithProf.ZejiaWangandProf.ChunpengWang PeriodicSolutionsoftheEvolutionary$p$-LaplacianwithNonlinearSources,JournalofMathematicalAnalysisandApplications,368(2)(2010),604--622.jointwithProf.ChunhuaJin Criticalexponentsandtravelingwavefrontsofadegenerate-singularparabolicequationinnon-divergenceform,DiscreteandContinuousDynamicalSystems,SeriesB,13(1)(2010),213--227.jointwithProf.ChunhuaJin

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