基本信息
张平 男 博导 中国科学院数学与系统科学研究院
电子邮件: zp@amss.ac.cn
通信地址: 北京中关村东路55号
邮政编码: 100190
电子邮件: zp@amss.ac.cn
通信地址: 北京中关村东路55号
邮政编码: 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
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) 宝钢优秀教师特等提名奖, 特等奖, 其他, 2024(2) 李佩教学名师奖, 研究所(学校), 2022(3) 陈省身奖, 专项, 2019(4) 流体力学与量子力学方程组的若干研究, 二等奖, 国家级, 2011(5) 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) Remark on the ill-posedness of the hyperbolic Prandtl system, Algebra i Analiz, 2024, 第 2 作者 通讯作者(2) On the global stability of large Fourier mode for 3-D Navier-Stokes equations, Adv. Math., 2024, 第 2 作者 通讯作者(3) On the global small solution of 2-D Prandtl system with initial data in the optimal Gevrey class., Adv. Math., 2024, 第 3 作者 通讯作者(4) Sharp decay characterization for the compressible Navier-Stokes equations, Adv. Math., 2024, 第 4 作者(5) On the hydrostatic approximation of Navier-Stokes-Maxwell system with Gevrey data, J. Math. Pures Appl. (9), 2024, 第 3 作者 通讯作者(6) On the global existence and uniqueness of solution to $2$-D inhomogeneous incompressible Navier-Stokes equations in critical spaces, J. Differential Equations, 2024, 第 3 作者 通讯作者(7) Quasi-neutral Limit of Nernst���Planck���Navier���Stokes System, SIAM J. Math. Anal., 2024, 第 1 作者 通讯作者(8) Global Small Analytic Solution of 3-D Anisotropic Navier-Stokes System., Arch. Ration. Mech. Anal., 2024, 第 2 作者 通讯作者(9) On the one time-varying component regularity criteria for 3-D Navier-Stokes equations., SIAM J. Math. Anal., 2024, 第 2 作者(10) Remark on the ill-posedness of the hyperbolic Prandtl system, Algebra i Analiz, 2024, 第 2 作者 通讯作者(11) 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(12) Gevrey Solutions of Quasi-Linear Hyperbolic Hydrostatic Navier���Stokes System, SIAM J. Math. Anal., 2023, 第 3 作者(13) On the instantaneous radius of analyticity of L-p solutions to 3D Navier-Stokes system, MATHEMATISCHE ZEITSCHRIFT, 2023, 第 1 作者 通讯作者(14) Global solutions of 2D isentropic compressible Navier-Stokes equations with one slow variable, JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 第 2 作者(15) 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(16) Global strong solutions of 3D Compressible Navier-Stokes equations with short pulse type initial data, 2022, 第 3 作者(17) REMARKS ON THE DECAY OF FOURIER COEFFICIENTS TO SOLUTIONS OF NAVIER-STOKES SYSTEM, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 第 3 作者(18) Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 第 2 作者 通讯作者(19) SEMICLASSICAL LIMIT OF GROSS-PITAEVSKII EQUATION WITH DIRICHLET BOUNDARY CONDITION, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 第 2 作者(20) On the instability of the possible blow-up solutions to 2D Boussinesq system, JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 第 2 作者 通讯作者(21) Global hydrostatic approximation of the hyperbolic Navier-Stokes system with small Gevrey class 2 data, SCIENCE CHINA-MATHEMATICS, 2022, 第 2 作者 通讯作者(22) 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(23) REMARK ON 3-D NAVIER-STOKES SYSTEM WITH STRONG DISSIPATION IN ONE DIRECTION, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 第 2 作者 通讯作者(24) Global small analytic solutions of MHD boundary layer equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 第 2 作者 通讯作者(25) Stability of Couette flow for 2D Boussinesq system with vertical dissipation, JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 第 3 作者 通讯作者(26) Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity, JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 第 2 作者(27) 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(28) Global Solutions of 3-D Navier-Stokes System with Small Unidirectional Derivative, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2020, 第 2 作者(29) Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient, JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 第 3 作者 通讯作者(30) On the radius of analyticity of solutions to semi-linear parabolic systems, MATHEMATICAL RESEARCH LETTERS, 2020, 第 3 作者(31) Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density, JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 第 3 作者 通讯作者(32) Striated Regularity of 2-D Inhomogeneous Incompressible Navier-Stokes System with Variable Viscosity, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 第 2 作者(33) 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(34) Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient, JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 第 2 作者 通讯作者(35) Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system, ADVANCES IN MATHEMATICS, 2020, 第 1 作者 通讯作者(36) On the hydrostatic approximation of the Navier-Stokes equations in a thin strip, ADVANCES IN MATHEMATICS, 2020, 第 2 作者 通讯作者(37) 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(38) 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(39) Some remarks about the possible blow-up for the Navier-Stokes equations, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019, 第 3 作者 通讯作者(40) Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction, SCIENCE CHINA-MATHEMATICS, 2019, 第 2 作者 通讯作者(41) 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(42) 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(43) Existence of Incompressible and Immiscible Flows in Critical Function Spaces on Bounded Domains, JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2019, 第 2 作者 通讯作者(44) 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(45) 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(46) On the Global Well-Posedness of 3-D Boussinesq System with Variable Viscosity, CHINESE ANNALS OF MATHEMATICS SERIES B, 2019, 第 2 作者(47) 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(48) 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(49) Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data, REVISTA MATEMATICA IBEROAMERICANA, 2018, 第 1 作者 通讯作者(50) INHOMOGENEOUS INCOMPRESSIBLE VISCOUS FLOWS WITH SLOWLY VARYING INITIAL DATA, JOURNALOFTHEINSTITUTEOFMATHEMATICSOFJUSSIEU, 2018, 第 2 作者(51) 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(52) Asymptotic stability of equilibrium to 3-D MHD system, MATHEMATICAL ANALYSIS IN FLUID MECHANICS: SELECTED RECENT RESULTS, 2018, 第 2 作者(53) 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(54) 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 2 作者 通讯作者(55) 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(56) On the global well-posedness of 2-D Boussinesq system with variable viscosity, ADVANCES IN MATHEMATICS, 2017, 第 2 作者 通讯作者(57) 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(58) 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(59) ON THE CRITICAL ONE COMPONENT REGULARITY FOR 3-D NAVIER-STOKES SYSTEM, ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2016, 第 2 作者 通讯作者(60) On the critical one component regularity for 3-D Navier-Stokes systems., Annales Scientifiques de l'École Normale Supérieure. Quatrième Série, 2016, 第 1 作者 通讯作者(61) On the Global Regularity of the Two-Dimensional Density Patch for Inhomogeneous Incompressible Viscous Flow, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2016, 第 2 作者 通讯作者(62) Long time well-posedness of Prandtl system with small and analytic initial data, JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 第 1 作者 通讯作者(63) Global well-posedness for Navier-Stokes equations with small initial value in B0n,���(��), J. Math. Fluid Mech., 2016, 第 1 作者(64) On the global well-posedness of 2-D inhomogeneous incompressible Nayier Stokes system with variable viscous coefficient, JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 第 2 作者 通讯作者(65) Global small solutions of 2-D incompressible MHD system, JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 第 3 作者 通讯作者(66) Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity, SCIENCECHINAMATHEMATICS, 2015, 第 2 作者 通讯作者(67) Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier���Stokes system, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 第 2 作者 通讯作者(68) 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(69) 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 2 作者 通讯作者(70) Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity, SCIENCE CHINA-MATHEMATICS, 2015, 第 2 作者 通讯作者(71) Remarks on the Global Solutions of 3-D Navier-Stokes System with One Slow Variable, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2015, 第 2 作者 通讯作者(72) GLOBAL SMALL SOLUTIONS TO THREE-DIMENSIONAL INCOMPRESSIBLE MAGNETOHYDRODYNAMICAL SYSTEM, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2015, 第 2 作者(73) Global large solutions to 3-D inhomogeneous Navier���Stokes system with one slow variable, JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 第 3 作者 通讯作者(74) Global Axisymmetric Solutions to Three-Dimensional Navier���Stokes System, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014, 第 1 作者(75) Global Small Solutions to an MHD���Type System: The Three���Dimensional Case, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2014, 第 2 作者(76) Inhomogeneous Navier���Stokes equations in the half-space, with only bounded density, JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 第 2 作者 通讯作者(77) 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(78) 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(79) Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity, JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2013, 第 3 作者 通讯作者(80) Sums of large global solutions to the incompressible Navier-Stokes equations, JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2013, 第 3 作者(81) Global Unique Solvability of Inhomogeneous Navier-Stokes Equations with Bounded Density, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2013, 第 2 作者 通讯作者(82) 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(83) ENERGY CONSERVATIVE SOLUTIONS TO A NONLINEAR WAVE SYSTEM OF NEMATIC LIQUID CRYSTALS, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 第 2 作者(84) 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(85) Global solutions to 2-D inhomogeneous Navier���Stokes system with general velocity, JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES, 2013, 第 3 作者(86) Long-time existence of solutions to Boussinesq system, SIAM J. Math. Anal., 2012, 第 1 作者 通讯作者(87) Energy conservative solutions to a one���dimensional full variational wave system, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2012, 第 1 作者 通讯作者(88) 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(89) LONG-WAVE APPROXIMATION TO THE 3-D CAPILLARY-GRAVITY WAVES, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 第 2 作者(90) 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(91) LONG-TIME EXISTENCE OF SOLUTIONS TO BOUSSINESQ SYSTEMS, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 第 3 作者(92) Global solutions to the 3-D incompressible inhomogeneous Navier���Stokes system, JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 第 2 作者 通讯作者(93) 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(94) Regularity of the Koch-Tataru solutions to Navier-Stokes system, SCIENCE CHINA-MATHEMATICS, 2012, 第 1 作者(95) Global Solutions to the 3-D Incompressible Anisotropic Navier-Stokes System in the Critical Spaces, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2011, 第 2 作者(96) 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(97) Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable, JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 第 3 作者 通讯作者(98) THE NAVIER-STOKES-VLASOV-FOKKER-PLANCK SYSTEM NEAR EQUILIBRIUM, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2010, 第 4 作者(99) Conservative Solutions to a System of Variational Wave Equations of Nematic Liquid Crystals, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2010, 第 1 作者 通讯作者(100) Quasi-Neutral Limit for a Model of Viscous Plasma, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2010, 第 2 作者(101) 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, (102) 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(103) On the blowing up of solutions to quantum hydrodynamic models on bounded domains, MONATSHEFTE FUR MATHEMATIK, 2009, 第 3 作者(104) 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(105) Global well-posedness for 2D polymeric fluid models and growth estimate, PHYSICA D-NONLINEAR PHENOMENA, 2008, 第 2 作者(106) ON THE LOCAL WELL-POSEDNESS FOR THE DUMBBELL MODEL OF POLYMERIC FLUIDS, JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2008, 第 1 作者 通讯作者(107) Global Smooth Solutions to the 2-D Nonhomogeneous Navier-Stokes Equations, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2008, 第 1 作者 通讯作者(108) On the global existence of smooth solution to the 2-D FENE dumbbell model, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 第 2 作者(109) The FENE dumbbell model near equilibrium, ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 第 2 作者(110) 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 1 作者 通讯作者(111) 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(112) On the local wellposedness of 3-D water wave problem with vorticity, SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 第 1 作者 通讯作者(113) singularandrareactivesolutionstoanonlinearvariationalwaveequation, CHINESEANNALSOFMATHEMATICSSERIESB, 2001, 第 1 作者(114) 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