杨晗 - 西南交通大学

个人简介

教师简介杨晗博士，教授，四川省第6届学术带头人后备人选。1995在四川师范大学获理学硕士学位，1998年在复旦大学数学所获理学博士学位。2002年10月至2004年5月在四川大学数学博士后流动站从事在职博士后研究工作。1998年7月起任教于西南交通大学，2000年任副教授，2003年任教授。教学经历本科生：数学分析，高等数学，概率与数理统计，点集拓扑，常微分方程，实变函数，泛函分析研究生：数学物理方程，线性偏微分方程，非线性发展方程教学成果西南交通大学教学成果奖2项，四川省教学成果奖1项已经在国内外发表论文60多篇，SCI检索30余篇。主持国家自然科学基金1项，主研国家自然科学基金5项，主持和参与其他项目10多项。近年承担的主要科研项目 1.国家自然科学基金项目，弹性动力学方程组解的性质研究（国家级） 2.国家自然科学基金项目，区域奇异摄动对无穷维随机动力系统动力学行为影响的研究（国家级）荣誉与奖励 1.四川省教学成果奖(省部级,三等奖,2018年) 科研团队团队成员：杨晗、王凡、韩帮胜研究方向：主要从事非线性发展偏微分方程解的适定性方面（整体解的存在性、解的破裂、解的渐近性态）的理论研究。招生专业招生类型学院专业代码专业名称专业类型专业方向博士数学070100数学学术型01.基础数学（几何分析、代数学、泛函分析、偏微分方程、微分方程与动力系统）硕士数学070100数学学术型01.基础数学硕士数学070100数学学术型03.应用数学招生要求专业：基础数学，应用数学方向：非线性偏微分方程

研究领域

主要从事非线性发展偏微分方程解的适定性方面（整体解的存在性、解的破裂、解的渐近性态）的理论研究。

近期论文

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1.LeiQian,YangHan,Globalexistenceandblow-upforsemilinearwaveequationswithvariablecoefficients,ChineseAnn.Math.Ser.B,2018(SCI) 2.AnhuiGu,DingshiLi,BixiangWang,HanYang,Regularityofrandomattractorsforfractionalstochasticreaction–diffusionequationsonR^n,J.DifferentialEquations,2018(SCI) 3.LiBin,YangHan,TheWigner-Poisson-X_{\alpha}systeminWieneralgebra,ComputersandmathematicswithApplcations,2017(SCI) 4.LiBin,YangHan,GlobalmildsolutionsformodifiedQuantumWignersysteminweighted$L^2$-spac,BulletinoftheAustralianMathematicalSociety,2017(SCI) 5.MingSen,YangHan,THECAUCHYPROBLEMFORTHELIQUIDCRYSTALSSYSTEMINTHECRITICALBESOVSPACEWITHNEGATIVEINDEX,CzechoslovakMathematicalJournal,2017(SCI) 6.ZhangFeng,YangHan,GlobalConservativeSolutionsofaGeneralizedTwo-ComponentCamassa-HolmSystem,JournalofAppliedMathematics,2014(SCI) 7.MingSen,YangHan,TheCauchyProblemforaWeaklyDissipative2-ComponentCamassa-HolmSystem,MathematicalProblemsinEngineering,2014(SCI) 8.YangHan,Zhushihui,Blow-upcriteriafortheinhomogeneousnonlinearSchr?dingerequation,JournalofInequalitiesandApplications,2014(SCI) 9.ZhuShihui,YangHan,Asymptoticbehaviorsofsolutionstothedissipative2-componentDegasperis-Procesidissipative2-componentDegasperis-Procesisystem,BoundaryValueProblems,2014(SCI) 10.ZhuShihui,YangHan,Blow-upRate,MassConcentrationandAsymptoticProfileofBlow-upSolutionsfortheNonlinearInhomogeneousSchrodingerEquation,AppliedMathematicsandComputation,2014(SCI) 11.YangHan,FanXiaoming,GlobalAnalysisforRoughSolutionstotheDavey-StewartsonSystem,AbstractandAppliedAnalysis,2013(SCI) 12.YangHan,ShiJianli,Globalexistenceofsolutionsfordampedwaveequationswithnonlinearmemory,ApplicableAnalysis,2012(SCI) 13.ZhuShihui,YangHan,Blow-upoftheroughsolutiontothefourth-ordernonlinearSchrodinerequation,NonlinearAnalysis,2011(SCI) 14.ZhuShihui,YangHan,Limitingprofileoftheblow-upsolutionsofthefourth-ordernonlinearSchrodingerequation,Dyn.PartialDiffer.Equ,2010(SCI) 15.YangHan,Zhushihui,Lpc-concentrationofblow-upsolutionsforthebiharmonicnonlinearSchr?dingerequation,ApplicableAnalysis,2010(SCI) 16.ZhuShihui,YangHan,BiharmonicnonlinearSchrodingerequationandtheprofiledecomposition,NonlinearAnalysis,2010(SCI) 17.FanXiaoming,YangHan,Expontentialattractoranditsfractaldimensionforasecondorderlatticedynamicalsystem,JournalofMathematicalAnalysisandApplications,2009(SCI) 18.YangHan,OntheCauchyproblemforKlein-GordonSchr\"odingersystemswithroughdata,DiscreteandContinuousDynamicalSystems,2005(SCI) 19.MiaoChangxing,YangHan,Theself-similarsolutionstosomenonlinearintegro-differentialequationcorrespondingtofractionalordertimederivative,ActaMathematicaSinica,EnglishSerires,2005(SCI) 20.YangHan,LiuFagui,Remarksonthelifespanforthesolutiontononlinearwaveequationsinthreespacedimensions,ActaMathematicaScientia,2003(SCI) 21.AlbertMilani,YangHan,$L^1$estimatesfordissipativewaveequations,Math.MethodsinAppl.Sci.,2001(SCI) 22.YangHan,AlbertMilani,OnthediffusionphenomenonforquasilinearhyperbolicwavesI,ChineseAnn.Math.Ser.B,2000(SCI) 23.AlbertMilani,YangHan,OnthediffusionphenomenonforquasilinearhyperbolicwavesII,Bull.Sci.Math.,2000(SCI) 24.YangHan,Scatteringforsemilinearwaveequationswithsmalldatainhighspacedimensions,J.PartialDifferentialEquations,1999 25.YangHan,Asingularperturbationproblemforsemilinearwaveequationswithsmallparamete,DiscreteContin.Dynam.Systems,1999(SCI)