郝成春副研究员　

办公室：思源楼611室
电话：010-62541845
电子信箱：hccATamss.ac.cn
　　
研究方向：非线性发展偏微分方程
　　
主要成果：
1.研究了一宏观量子模型的长时间自相似行为2.给出了一类带角动量旋转项的Gross-Pitaevskii方程解的积分表达式，得到了初值问题的整体适定性3.得到了含导数或指数增长阶的非线性Schr?dinger方程的适定性及散射理论4.研究了四阶非线性导数Schr?dinger方程的适定性5.讨论了非线性Schr?dinger-Poisson系统的适定性及修正散射理论6.得到了拟线性Schr?dinger-Poisson系统初边值问题整体解的存在唯一性

代表论著：
1.(withL.HsiaoandH.-L.Li)Cauchyproblemforviscousrotatingshallowwaterequations,JournalofDifferentialEquations,247,3234-3257,2009.2.(withH.-L.Li)GlobalexistenceforcompressibleNavier-Stokes-Poissonequationsinthreeandhigherdimensions,JournalofDifferentialEquations,246,4791-4812,2009.3.(withL.HsiaoandH.-L.Li)Globalwell-posednessfortheGross-Pitaevskiiequationwithanangularmomentumrotationalterm,MathematicalMethodsintheAppliedSciences,31(6),655-664,2008.4.(withL.HsiaoandH.-L.Li)GlobalwellposednessfortheGross-Pitaevskiiequationwithanangularmomentumrotationalterminthreedimensions,JournalofMathematicalPhysics,48,102105,1-11,2007.5.Well-posednessforone-dimensionalderivativenonlinearSchr?dingerequations,CommunicationsonPureandAppliedAnalysis,6(4),997-1021,2007.6.(withL.HsiaoandB.X.Wang)WellposednessofCauchyproblemforthefourthordernonlinearSchr?dingerequationsinmulti-dimensionalspaces,JournalofMathematicalAnalysisandApplications,328(1),58-83,2007.7.(withB.X.WangandH.Hudzik)EnergyscatteringforthenonlinearSchr?dingerequationswithexponentialgrowthinlowerspatialdimensions,JournalofDifferentialEquations,228(1),311-338,2006.8.(withL.HsiaoandB.X.Wang)WellposednessforthefourthordernonlinearSchr?dingerequations,JournalofMathematicalAnalysisandApplications,320(1),246-265,2006.9.(withL.Hsiao)LargetimebehaviorandglobalexistenceofsolutiontothebipolardefocusingnonlinearSchr?dinger-Poissonsystem,QuarterlyofAppliedMathematics,62(4),701-710,2004.10.(withL.HsiaoandH.-L.Li)ModifiedScatteringforBipolarNonlinearSchr?dinger-PoissonEquations,MathematicalModels&MethodsinAppliedSciences,14(10),1481-1494,2004.

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