个人简介
1988-1997年,山东大学学士、硕士、博士;
1999-2001年,东京大学博士后;
1997-2001年,山东大学讲师;
2001-2005年,东京大学、北海道大学研究员;
2005-2015年,同济大学教授、博士生导师;
2016年至今,上海师范大学教授、博士生导师。
研究领域
娄本东的研究领域是抛物方程的定性理论,包括:反应扩散方程的自由边界理论、时空非均匀环境中的行波解等等。主要学术贡献包括:
1.提出非均匀空间中非平面型行波的问题,通过研究波形与波速的关系提出了Liouville定理、Bernstein定理、DeGiorgi猜想等经典定理的非均匀空间版本;
2.跟H.Matano教授合作提出并研究了递归行波解概念;
3.提出并研究了离散自相似波的概念;
4.发现了蝌蚪状行波解、无限平移的groundstate解等新现象;
5.系统分析了带自由边界的一维反应扩散方程的解的定性性质
科研项目
[1]娄本东.上海市高峰高原学科:上海高峰高原学科《数学》(第二阶段),在研.
[2]娄本东.国家自然科学基金(面上项目):非线性扩散方程在半平面上的传播现象,在研
近期论文
查看导师最新文章
(温馨提示:请注意重名现象,建议点开原文通过作者单位确认)
[1]EntiresolutionsoftheFisher-KPPequationonthehalfline(withJ.LuandY.Morita),Euro.J.Appl.Math.,(toappear)(发现了一种新类型的整体解,基本构筑了半轴上Fisher-KPP方程的相空间)EJAM.pdf
[2]Convergenceintime-periodicquasilinearparabolicequationsinonespacedimension,J.DifferentialEquations,265(2018),3952-3969.2018JDE.pdf
[3]Fisher-KPPequationwithfreeboundariesandtime-periodicadvections(withN.SunandM.Zhou),Calc.Var.PDE.,56(2017),61.pp.36SLZ-CVPDE.pdf
[4]Longtimebehaviorofsolutionsofareaction-diffusionequationonunboundedintervalswithRobinboundaryconditions(withX.Chen,M.ZhouandT.Giletti),Ann.Inst.H.PoincareAnal.nonLineaire,33(1)(2016),67-92.(发现并细致刻画了无限平移的groundstate解)2016AIHPCLZG.pdf
[5]Spreadingandvanishinginnonlineardiffusionproblemswithfreeboundaries(withY.Du),J.Euro.Math.Soc.,17(10)(2015),2673-2724.(完整地分析了一维带自由边界的反应扩散方程解的渐近行为,带动了反应扩散方程自由边界问题的研究热潮)2015JEMS.pdf
[6]Nonlineardiffusionproblemswithfreeboundaries:Convergence,transitionspeed,andzeronumberarguments(withY.DuandM.Zhou),SIAMJ.Math.Anal.,47(5)(2015),3555–3584.2015SIMA.pdf
[7]LongtimebehaviorofsolutionsofFisher-KPPequationwithadvectionandfreeboundaries(withH.GuandM.Zhou),J.Funct.Anal.,269(6)(2015),1714–1768.(首次发现蝌蚪状行波这一新的行波类型)2015JFAGuLouZhou.pdf
[8]Onareaction-diffusionequationwithRobinandfreeboundaryconditions(withX.Liu),J.DifferentialEquations,259(2)(2015),423-453.2015JDELiuLou.pdf
[9]Recurrenttravelingwavesinatwo-dimensionalsaw-toothedcylinderandtheiraveragespeed,J.DifferentialEquations,255(2013),3357-3411.(首次提出并研究了递归行波解)2013JDE.pdf
[10]Self-similarsolutionsinasectorforaquasilinearparabolicequation,NetworksandHeterogeneousMedia,7(4)(2012),857-879.(首次提出离散自相似波概念)2012NHM.pdf
[11]Homogenizationlimitofaparabolicequationwithnonlinearboundaryconditions,J.DifferentialEquations,251(2011),1447-1474.2011JDE.pdf
[12]Travelingwavesofacurvatureflowinalmostperiodicmedia(withX.Chen),J.DifferentialEquations,247(2009),2189-2208.(首次提出非均匀空间非平面型行波的问题,被L.Caffarelli等人引用)2009JDELou-Chen.pdf
[13]Periodicrotatingwavesofageodesiccurvatureflowonthesphere,Commun.PartialDifferentialEquations,32(2007),525-541.2007CPDE.pdf
[14]AnalogueofDeGiorgi'sconjectureinheterogeneousmedia,arXiv:math/0701760v1(提出Bernstein问题、DeGiorgi猜想等著名问题的非均匀空间版本).2007AcXivDeG-Conj.pdf
[15]Periodicrotatingwavesinanundulatingannulusandtheirhomogenizationlimit,SIAMJ.Math.Anal.,38(3)(2006),693-716.2006SIAM.pdf
[16]Periodictravelingwavesinatwo-dimensionalcylinderwithsaw-toothedboundaryandtheirhomogenizationlimit,Netw.Hetero.Media,1(2006)(4),537-568.2006NHMM-N-L.pdf
论文
[1]XinfuChen,娄本东,MaolinZhou,ThomasGiletti.Longtimebehaviorofsolutionsofareaction-diffusionequationonunboundedintervalswithRobinboundaryconditions.ANNALESDELINSTITUTHENRIPOINCARE-ANALYSENONLINEAIRE,2016,33(1):67-92.
[2]HongGu,娄本东.Spreadinginadvectiveenvironmentmodeledbyareactiondiffusionequationwithfreeboundaries.JOURNALOFDIFFERENTIALEQUATIONS,2016,260(5):3991-4015.
[3]YihongDu,娄本东.Spreadingandvanishinginnonlineardiffusionproblemswithfreeboundaries.JOURNALOFTHEEUROPEANMATHEMATICALSOCIETY,2015,17(10):2673-2724.
[4]JunfanLu,娄本东.Expandingspeedofthehabitatforaspeciesinanadvectiveenvironment.DISCRETEANDCONTINUOUSDYNAMICALSYSTEMS-SERIESB,2017,22(2):483-490.
[5]YihongDu,娄本东.SpreadingandvanishingfornonlinearStefanproblemsinhighspacedimensions.JournalofEllipticandParabolicEquations,2016,2(1):297-321.
[6]NingkuiSun,娄本东.Fisher–KPPequationwithfreeboundariesandtime-periodicadvections.CALCULUSOFVARIATIONSANDPARTIALDIFFERENTIALEQUATIONS,2017,56(3):1-36.
[7]李芳,娄本东.Expressionoftimealmostperiodictravelingwavesolutionstoaclassofcompetitiondiffusionsystems.PROCEEDINGSOFTHEAMERICANMATHEMATICALSOCIETY,2018,146(5):2163-2171.
[8]娄本东.Convergenceintime-periodicquasilinearparabolicequationsinonespacedimension.JOURNALOFDIFFERENTIALEQUATIONS,2018,265(9):3952-3969.