基本信息
张平  男  博导  中国科学院数学与系统科学研究院
email: zp@amss.ac.cn
address: 北京中关村东路55号
postalCode: 100190

招生信息

   
招生专业
070101-基础数学
招生方向
微局部分析
非线性偏微分方程

教育背景

1997-07--1999-06   中科院数学所   博士后
1987-09--1997-06   南京大学   博士

工作经历

   
工作简历
2003-04~现在, 中科院数学与系统科学研究院, 研究员
2001-04~2003-03,中科院数学与系统科学研究院, 副研究员
1999-07~2001-03,中科院数学与系统科学研究院, 阻力研究员
1997-07~1999-06,中科院数学所, 博士后
1987-09~1997-06,南京大学, 博士
社会兼职
2013-01-01-今,J. Éc. polytech. Math., 编委
2011-01-01-今,数学进展, 编委
2011-01-01-今,artial Differential Equations, 编委
2010-01-01-今,Acta Applicandae Mathematicae, 副主编
2009-01-01-今,中国科学, 编委
2008-01-01-今,Czechoslovak Math. J., 编委

教授课程

Navier-Stokes 方程简介
数学分析
非线性波动方程
Sobolev空间及其应用
调和分析
不可压缩流体力学方程组
Fourier分析在粘性流体力学方程组中的应用
Fourier分析与流体力学方程组
二阶抛物型偏微分方程(续)
二阶抛物型偏微分方程
不可压缩流体力学方程组的数学理论

专利与奖励

   
奖励信息
(1) 李佩教学名师奖, 研究所(学校), 2022
(2) 陈省身奖, 专项, 2019
(3) 流体力学与量子力学方程组的若干研究, 二等奖, 国家级, 2011
(4) 中国科学院优秀研究生指导教师奖, 院级, 2011

出版信息

   
发表论文
(1) On the global approximate controllability in small time of semiclassical 1-D Schr��dinger equations between two states with positive quantum densities, JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 第 3 作者
(2) On the instantaneous radius of analyticity of L-p solutions to 3D Navier-Stokes system, MATHEMATISCHE ZEITSCHRIFT, 2023, 第 11 作者
(3) Gevrey Solutions of Quasi-Linear Hyperbolic Hydrostatic Navier���Stokes System, SIAM J. Math. Anal., 2023, 第 3 作者
(4) Global solutions of 2D isentropic compressible Navier-Stokes equations with one slow variable, JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 第 2 作者
(5) Global Controllability of the Navier-Stokes Equations in the Presence of Curved Boundary with No-Slip Conditions, JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2022, 第 3 作者
(6) Global strong solutions of 3D Compressible Navier-Stokes equations with short pulse type initial data, 2022, 第 3 作者
(7) SEMICLASSICAL LIMIT OF GROSS-PITAEVSKII EQUATION WITH DIRICHLET BOUNDARY CONDITION, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 第 2 作者
(8) Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 第 11 作者
(9) REMARKS ON THE DECAY OF FOURIER COEFFICIENTS TO SOLUTIONS OF NAVIER-STOKES SYSTEM, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 第 3 作者
(10) On the instability of the possible blow-up solutions to 2D Boussinesq system, JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 第 11 作者
(11) Global hydrostatic approximation of the hyperbolic Navier-Stokes system with small Gevrey class 2 data, SCIENCE CHINA-MATHEMATICS, 2022, 第 11 作者
(12) Smooth Controllability of the Navier-Stokes Equation with Navier Conditions: Application to Lagrangian Controllability, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 第 3 作者
(13) REMARK ON 3-D NAVIER-STOKES SYSTEM WITH STRONG DISSIPATION IN ONE DIRECTION, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 第 11 作者
(14) Global small analytic solutions of MHD boundary layer equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 第 11 作者
(15) Stability of Couette flow for 2D Boussinesq system with vertical dissipation, JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 第 11 作者
(16) Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity, JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 第 2 作者
(17) Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021, 第 2 作者
(18) Global Solutions of 3-D Navier-Stokes System with Small Unidirectional Derivative, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2020, 第 2 作者
(19) Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient, JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 第 11 作者
(20) On the radius of analyticity of solutions to semi-linear parabolic systems, MATHEMATICAL RESEARCH LETTERS, 2020, 第 3 作者
(21) Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density, JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 第 11 作者
(22) Striated Regularity of 2-D Inhomogeneous Incompressible Navier-Stokes System with Variable Viscosity, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 第 2 作者
(23) Global Well-Posedness of 3-D Anisotropic Navier-Stokes System with Small Unidirectional Derivative, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2020, 第 3 作者
(24) Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient, JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 第 11 作者
(25) Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system, ADVANCES IN MATHEMATICS, 2020, 第 11 作者
(26) On the hydrostatic approximation of the Navier-Stokes equations in a thin strip, ADVANCES IN MATHEMATICS, 2020, 第 11 作者
(27) Remark on the Lifespan of Solutions to 3-D Anisotropic Navier Stokes Equations, remarkonthelifespanofsolutionsto3danisotropicnavierstokesequations, 数学研究通讯:英文版, 2020, 第 2 作者
(28) 三维不可压Navier-Stokes方程关于速度场单分量在各向异性临界空间中的正则性准则 献给杨乐教授80华诞, 中国科学:数学, 2019, 第 2 作者
(29) Some remarks about the possible blow-up for the Navier-Stokes equations, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019, 第 11 作者
(30) Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction, SCIENCE CHINA-MATHEMATICS, 2019, 第 11 作者
(31) Global Regularity of 2D Density Patches for Viscous Inhomogeneous Incompressible Flow with General Density: Low Regularity Case, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2019, 第 2 作者
(32) Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction Dedicated to Professor Jean-Yves Chemin on the Occasion of His 60th Birthday, Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction Dedicated to Professor Jean-Yves Chemin on the Occasion of His 60th Birthday, 中国科学:数学英文版, 2019, 第 2 作者
(33) Existence of Incompressible and Immiscible Flows in Critical Function Spaces on Bounded Domains, JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2019, 第 11 作者
(34) 三维不可压Navier-Stokes方程关于速度场单分量在各向异性临界空间中的正则性准则, Critical one component anisotropic regularity for 3-D Navier-Stokes system, 中国科学:数学, 2019, 第 2 作者
(35) Global Regularity of 2-D Density Patches for Viscous Inhomogeneous Incompressible Flow with General Density: High Regularity Case, 分析,理论与应用(英文版), 2019, 第 2 作者
(36) On the Global Well-Posedness of 3-D Boussinesq System with Variable Viscosity, CHINESE ANNALS OF MATHEMATICS SERIES B, 2019, 第 2 作者
(37) On the Global Well-Posedness of 3-D Boussinesq System with Variable Viscosity, 数学年刊B辑(英文版), 2019, 第 2 作者
(38) Large Time Behavior of Solutions to 3-D MHD System with Initial Data Near Equilibrium, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 第 2 作者
(39) Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data, REVISTA MATEMATICA IBEROAMERICANA, 2018, 第 11 作者
(40) INHOMOGENEOUS INCOMPRESSIBLE VISCOUS FLOWS WITH SLOWLY VARYING INITIAL DATA, JOURNALOFTHEINSTITUTEOFMATHEMATICSOFJUSSIEU, 2018, 第 2 作者
(41) 数数学家将会最终给出Navier-Stokes方程程的解吗?, 科学通报, 2018, 第 1 作者
(42) Asymptotic stability of equilibrium to 3-D MHD system, MATHEMATICAL ANALYSIS IN FLUID MECHANICS: SELECTED RECENT RESULTS, 2018, 第 2 作者
(43) 数学家将会最终给出Navier-Stokes方程的解吗?, Will mathematicians unleash the power of the Navier-Stokes equations?, 科学通报, 2018, 第 1 作者
(44) On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 第 11 作者
(45) On the Critical One Component Regularity for 3-D Navier-Stokes System: General Case, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2017, 第 2 作者
(46) On the Global Solution of a 3-D MHD System with Initial Data near Equilibrium, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2017, 第 2 作者
(47) On the global well-posedness of 2-D Boussinesq system with variable viscosity, ADVANCES IN MATHEMATICS, 2017, 第 11 作者
(48) Global Well-Posedness for Navier-Stokes Equations with Small Initial Value in B-n,infinity(0) (Omega), JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2016, 第 2 作者
(49) ON THE CRITICAL ONE COMPONENT REGULARITY FOR 3-D NAVIER-STOKES SYSTEM, ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2016, 第 11 作者
(50) On the critical one component regularity for 3-D Navier-Stokes systems., Annales Scientifiques de l'École Normale Supérieure. Quatrième Série, 2016, 第 11 作者
(51) On the Global Regularity of the Two-Dimensional Density Patch for Inhomogeneous Incompressible Viscous Flow, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2016, 第 11 作者
(52) Long time well-posedness of Prandtl system with small and analytic initial data, JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 第 11 作者
(53) Global well-posedness for Navier-Stokes equations with small initial value in B0n,���(��), J. Math. Fluid Mech., 2016, 第 1 作者
(54) On the global well-posedness of 2-D inhomogeneous incompressible Nayier Stokes system with variable viscous coefficient, JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 第 11 作者
(55) Global small solutions of 2-D incompressible MHD system, JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 第 11 作者
(56) Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity, SCIENCECHINAMATHEMATICS, 2015, 第 11 作者
(57) Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier���Stokes system, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 第 11 作者
(58) On the global well-posedness of 2-D inhomogeneous incompressible Navier���Stokes system with variable viscous coefficient, JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 第 2 作者
(59) On some large global solutions to 3-D density-dependent Navier-Stokes system with slow variable: Well-prepared data, ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2015, 第 11 作者
(60) Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity, SCIENCE CHINA-MATHEMATICS, 2015, 第 11 作者
(61) Remarks on the Global Solutions of 3-D Navier-Stokes System with One Slow Variable, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2015, 第 11 作者
(62) GLOBAL SMALL SOLUTIONS TO THREE-DIMENSIONAL INCOMPRESSIBLE MAGNETOHYDRODYNAMICAL SYSTEM, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2015, 第 2 作者
(63) Global large solutions to 3-D inhomogeneous Navier���Stokes system with one slow variable, JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 第 11 作者
(64) Global Axisymmetric Solutions to Three-Dimensional Navier���Stokes System, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014, 第 1 作者
(65) Global Small Solutions to an MHD���Type System: The Three���Dimensional Case, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2014, 第 2 作者
(66) Inhomogeneous Navier���Stokes equations in the half-space, with only bounded density, JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 第 11 作者
(67) Global Solvability of a Free Boundary Three-Dimensional Incompressible Viscoelastic Fluid System with Surface Tension, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2013, 第 2 作者
(68) Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity, JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2013, 第 11 作者
(69) Global Well-posedness of Incompressible Inhomogeneous Fluid Systems with Bounded Density or Non-Lipschitz Velocity, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2013, 第 3 作者
(70) Sums of large global solutions to the incompressible Navier-Stokes equations, JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2013, 第 3 作者
(71) Global Unique Solvability of Inhomogeneous Navier-Stokes Equations with Bounded Density, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2013, 第 11 作者
(72) Well-posedness of 3-D inhomogeneous Navier-Stokes equations with highly oscillatory initial velocity field, JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2013, 第 3 作者
(73) ENERGY CONSERVATIVE SOLUTIONS TO A NONLINEAR WAVE SYSTEM OF NEMATIC LIQUID CRYSTALS, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 第 2 作者
(74) Global Well-posedness of Incompressible Inhomogeneous Fluid Systems with Bounded Density or Non-Lipschitz Velocity, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2013, 第 3 作者
(75) Global solutions to 2-D inhomogeneous Navier���Stokes system with general velocity, JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES, 2013, 第 3 作者
(76) Long-time existence of solutions to Boussinesq system, SIAM J. Math. Anal., 2012, 第 11 作者
(77) Energy conservative solutions to a one���dimensional full variational wave system, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2012, 第 11 作者
(78) Large Time Well-posedness of the Three-Dimensional Capillary-Gravity Waves in the Long Wave Regime, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2012, 第 2 作者
(79) LONG-WAVE APPROXIMATION TO THE 3-D CAPILLARY-GRAVITY WAVES, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 第 2 作者
(80) On the Wellposedness of Three-Dimensional Inhomogeneous Navier���Stokes Equations in the Critical Spaces, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2012, 第 3 作者
(81) LONG-TIME EXISTENCE OF SOLUTIONS TO BOUSSINESQ SYSTEMS, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 第 3 作者
(82) Global solutions to the 3-D incompressible inhomogeneous Navier���Stokes system, JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 第 11 作者
(83) Regularity of the Koch-Tataru solutions to Navier-Stokes system, Regularity of the Koch-Tataru solutions to Navier-Stokes system, 中国科学:数学英文版, 2012, 第 1 作者
(84) Regularity of the Koch-Tataru solutions to Navier-Stokes system, SCIENCE CHINA-MATHEMATICS, 2012, 第 1 作者
(85) Global Solutions to the 3-D Incompressible Anisotropic Navier-Stokes System in the Critical Spaces, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2011, 第 2 作者
(86) On the Decay and Stability of Global Solutions to the 3D Inhomogeneous Navier-Stokes Equations, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2011, 第 3 作者
(87) Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable, JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 第 11 作者
(88) THE NAVIER-STOKES-VLASOV-FOKKER-PLANCK SYSTEM NEAR EQUILIBRIUM, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2010, 第 4 作者
(89) Conservative Solutions to a System of Variational Wave Equations of Nematic Liquid Crystals, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2010, 第 11 作者
(90) Quasi-Neutral Limit for a Model of Viscous Plasma, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2010, 第 2 作者
(91) Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity, Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity, 数学年刊:B辑英文版, 2009, 
(92) Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity, CHINESE ANNALS OF MATHEMATICS SERIES B, 2009, 第 2 作者
(93) On the blowing up of solutions to quantum hydrodynamic models on bounded domains, MONATSHEFTE FUR MATHEMATIK, 2009, 第 3 作者
(94) Remark on the Regularities of Kato's Solutions to Navier-Stokes Equations with Initial Data in L^d(R^d), Remark on the Regularities of Kato���s Solutions to Navier-Stokes Equations with Initial Data in L^d(R^d), 数学年刊:B辑英文版, 2008, 第 1 作者
(95) Global well-posedness for 2D polymeric fluid models and growth estimate, PHYSICA D-NONLINEAR PHENOMENA, 2008, 第 2 作者
(96) ON THE LOCAL WELL-POSEDNESS FOR THE DUMBBELL MODEL OF POLYMERIC FLUIDS, JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2008, 第 11 作者
(97) Global Smooth Solutions to the 2-D Nonhomogeneous Navier-Stokes Equations, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2008, 第 11 作者
(98) On the global existence of smooth solution to the 2-D FENE dumbbell model, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 第 2 作者
(99) The FENE dumbbell model near equilibrium, ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 第 2 作者
(100) Remark on the regularities of Kato's solutions to Navier-Stokes equations with initial data in L-d(R-d), CHINESE ANNALS OF MATHEMATICS SERIES B, 2008, 第 11 作者
(101) L-2 DECAY OF SOLUTIONS TO A MICRO-MACRO MODEL FOR POLYMERIC FLUIDS NEAR EQUILIBRIUM, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2008, 第 2 作者
(102) On the local wellposedness of 3-D water wave problem with vorticity, SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 第 11 作者
(103) singularandrareactivesolutionstoanonlinearvariationalwaveequation, CHINESEANNALSOFMATHEMATICSSERIESB, 2001, 第 1 作者
(104) ontheexistenceanduniquenessofsolutionstoanasympototicequationofavariationalwaveequation, ACTAMATHEMATICASINICAENGLISHSERIES, 1999, 第 2 作者
发表著作
Wigner measure and semiclassical limits of nonlinear Schrödinger equations, American Mathematical Society, Providence, RI,, 2008-10, 第 1 作者

科研活动

   
科研项目
( 1 ) 天元数学国际研究交流中心, 负责人, 国家任务, 2024-01--2024-12
( 2 ) 流体力学方程组的数学理论, 负责人, 国家任务, 2021-12--2026-11
( 3 ) 高雷诺数及宏观微观流体力学方程的数学理论, 负责人, 国家任务, 2021-01--2025-12
( 4 ) 不可压缩流体力学方程组的相关研究, 负责人, 国家任务, 2014-01--2017-12
( 5 ) 流体力学及相关问题的数学理论, 负责人, 国家任务, 2010-01--2013-12
( 6 ) 流体力学的数学理论, 负责人, 中国科学院计划, 2010-01--2012-01
( 7 ) 偏微分方程, 负责人, 国家任务, 2006-01--2009-12