个人简介
教育经历
东京大学日本东京
数理科学研究科博士学位2013.042016.03
博士论文:MathematicalAnalysisforAnomalousDiffusionwithGeneralizedFractionalTime
Derivatives
东京大学日本东京
数理科学研究科硕士学位2011.102013.03
硕士论文:Initial-boundaryvalueproblemsfornon-symmetriclineardiffusionequationwith
multipletime-fractionalderivativesandapplicationstosomeinverseproblems
中国科学技术大学安徽合肥
数学科学学院博士课程2010.092011.08
中国科学技术大学安徽合肥
数学科学学院硕士课程2008.092010.08
安徽大学安徽合肥
数学与计算科学学院学士学位2004.092008.08
学士论文:线性方程组的几何迭代解法及医学断层成像的数学模型
研究简介
师从日本反问题方向学术带头人山本昌宏教授,研究内容主要针对奇异介质中的异常扩散过程以及
与之对应的数学模型–分数阶反应扩散方程,进行了研究。研究工具主要涉及到了Carleman估计,
Dirichlet-to-Neumann映射理论,调和分析等数学工具,并发表若干SCI论文。
科研经历
特任研究员东京大学
经费提供:JSPS基盤研究(S)15H057402016.04.012017.09.30
合作者:山本昌宏教授
研究内容:异常扩散中的反演与预测。
学术访问艾克斯–马赛大学
经费提供:JSPS基盤研究(S)15H057402015.11.222015.12.05
合作者:EricSoccorsi教授,YavarKian教授
研究内容:分布型分数阶扩散方程的反问题。
学术访问柏林工业大学
经费提供:MEXT数物先端(FMSP)2014.05.012014.06.30
合作者:YuriLuchko教授
研究内容:分布型分数阶扩散方程解的渐近行为。
科研经费
Grant-in-AidforResearchActivitystart-up16H06712,JSPS
研究课题:Inversionandpredictionproblemsinanomalousdiffusion
研究期间:2016.08.262018.03.31
经费总额:2,600,000日元(直接经费:2,000,000日元、间接经费:600,000日元)
经费网址:https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16H06712/
工作经历
东京大学特任研究员
数理科学研究科2016.042017.09
山东理工大学副教授
数学与计算科学学院2017.09至今
获奖情况
东京大学数理科学研究科科长赏..................................2016
东京大学数理科学研究科科长赏.................................2013
国家建设高水平大学公派研究生..................................2011
安徽省高等学校品学兼优毕业生..................................2008
计算机技能
程序语言
熟练:LATEX,Python
一般:MATLAB,Scilab,C语言
常用软件
Linux,微软Excel,微软Word
近期论文
查看导师新发文章
(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.LiZ,KianY,SoccorsiE.Initial-boundaryvalueproblemfordistributedordertime-fractional
diffusionequations,arXiv:1709.06823.
2.LiZ,HuangX,YamamotoM.Carlemanestimatesforthetime-fractionaladvection-diffusion
equationsandapplications.arXiv:1704.06011.
3.JiangD,LiZ,LiuY,YamamotoM.Weakuniquecontinuationandarelatedinversesource
problemfortimefractionaldiffusionequations.InverseProblems.2017;33(5):055013.
4.LiZ,LuchkoY,YamamotoM.Analyticityofsolutionstoadistributedordertime-fractional
diffusionequationanditsapplicationtoaninverseproblem.Computers&Mathematicswith
Applications.2017;73(6):1041–1052.
5.ChengX,LiZ,YamamotoM.Asymptoticbehaviorofsolutionstospace-timefractional
diffusionequations.MathematicalMethodsintheAppliedSciences.2017;40(4):1019–1031.
6.LiZ,ImanuvilovOY,YamamotoM.Uniquenessininverseboundaryvalueproblemsfor
fractionaldiffusionequations.InverseProblems.2016;32(1):015004.
7.LiZ,LiuY,YamamotoM.Initial-boundaryvalueproblemsformulti-termtime-fractional
diffusionequationswithpositiveconstantcoefcients.AppliedMathematicsandComputation.
2015;257:381–397.
8.LiZ,YamamotoM.Uniquenessforinverseproblemsofdeterminingordersofmulti-term
time-fractionalderivativesofdiffusionequation.ApplicableAnalysis.2015;94(3):570–579.
9.LiZ,LuchkoY,YamamotoM.Asymptoticestimatesofsolutionstoinitial-boundary-value
problemsfordistributedordertime-fractionaldiffusionequations.FractionalCalculusandApplied
Analysis.2014;17(4):1114–1136.
10.LiZ,YamamotoM.Initial-boundaryvalueproblemsforlineardiffusionequationwithmultiple
time-fractionalderivatives.arXiv:1306.2778.
学术报告
1.Aninverseproblemforafrstorderquasi-linearhyperbolicequation,InternationalConferenceon
AppliedStatisticsandFinancialMathematics,TheHongKongPolytechnicUniversity,HongKong,
China,December182010.
2.Non-symmetriclineardiffusionequationwithmultipletime-fractionalderivativesanditsinverse
problems,InternationalConferenceonInverseProblemsandRelatedTopics2012,Southeast
University,Nanjing,China,October242012.
3.Initial-boundaryvalueproblemsfornon-symmetriclineardiffusionequationwithmultiple
fractionaltime-derivativesandapplicationstosomeinverseproblems,MiniworkshoponInverse
ProblemsandRelatedTopics,TheUniversityofTokyo,Tokyo,Japan,March272013.
4.Initial-boundaryvalueproblemsforthelineardiffusionequationwithmultipletime-fractional
derivativesandapplicationstosomeinverseproblems,The6thPacifcRIMConferenceon
Mathematics2013,HokkaidoUniversity,Sapporo,Japan,July1–52013.
5.Initial-boundaryvalueproblemsfordiffusionequationwithmultipletime-fractionalderivativesand
someinverseproblems,InternationalWorkshoponInverseProblemsandRegularizationTheory,
FudanUniversity,Shanghai,China,September282013.
6.Initial-boundaryvalueproblemsformulti-time-fractionaldiffusionequationanditsinverse
problems,ConferenceonDiffusioninHeterogeneousMediaandRelatedTopics,TheUniversityof
Tokyo,Tokyo,Japan,March72014.
7.Initial-boundaryvalueproblemsformulti-time-fractionaldiffusionequationsandsomeinverse
problems,RecentProgressinMathematicalandNumericalAnalysisofInverseProblems,CIRM,
Luminy,Marseille,France,May22,2014.
8.Asymptoticestimatesofsolutionstoinitial-boundary-valueproblemsfortime-fractionaldiffusion
equationsofdistributedorders,2014A3ForesightProgramConferenceonModelingand
ComputationofAppliedInverseProblems,ICC,Jeju,Korea,November222014.
9.Uniquenessforinverseproblemsofdeterminingordersofmulti-termtime-fractionalderivativesof
diffusionequations,2014A3Seoul-TokyoConferenceonAppliedPartialDifferentialEquations,
KIAS,Seoul,Korea,December142014.
10.Determinationofsourceterminadistributedordertime-fractionaldiffusionequation,The7th
InternationalConferenceonInverseProblemsandRelatedTopics,NationalTaiwanUniversity,
Taipei,Taiwan,December172014.
11.MathematicalAnalysisforfractionaldiffusionequations,PDEseminar,AixMarseilleUniversity,
Marseille,France,November252015.
12.Asurveyonweakuniquecontinuationformulti-termtime-fractionaldiffusionequations,Central
ChinaNormalUniversity,Wuhan,China,February232016.
13.Aninverseproblemfordistributedordertime-fractionaldiffusionequation,International
ConferenceonInverseProblemsandRelatedTopics2016,IwhaWomansUniversity,Seoul,Korea,
July282016.
14.Forwardandinverseproblemsforthetime-fractionaldiffusionequations,ShandongUniversityof
Technology,Zibo,China,October262016.
15.Carlemanestimatesforthetime-fractionaldiffusionequationsandapplications,Inverseproblems
forpartialdifferentialequationsandrelatedareas,ResearchInstituteofMathematicalSciences,
KyotoUniversity,Kyoto,Japan,January262017.
16.Asurveyoninverseproblemsfortime-fractionaldiffusionequations,HohaiUniversity,Nanjing,
China,March202017.
17.Mathematicalanalysisfordiffusionequationswithgeneralizedfractionaltimederivatives,
UniversityofScienceandTechnologyofChina,Hefei,China,April52017.
18.Aninverseproblemfordistributedordertime-fractionaldiffusionequations,AppliedInverse
Problems2017,Hangzhou,China,June012017.