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

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) 流体力学与量子力学方程组的若干研究, 二等奖, 国家级, 2011
(2) 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) Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient, J. Funct. Anal., 2020, 第 2 作者
(2) Global well-posedness of 3-D anisotropic Navier-Stokes system with small unidirectional derivative, Arch. Ration. Mech. Anal., 2020, 第 3 作者
(3) Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient, Adv. Math., 2020, 第 2 作者
(4) Striated regularity of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscosity, Comm. Math. Phys., 2020, 第 2 作者
(5) Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient., J. Differential Equation, 2020, 第 3 作者
(6) Global solutions of 3-D Navier-Stokes system with small unidirectional derivative, Arch. Ration. Mech. Anal., 2020, 第 2 作者
(7) Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system., Adv. Math., 2020, 第 1 作者
(8) Incompressible inhomogeneous fluids in bounded domains of R 3 with bounded density, J. Funct. Anal., 2020, 第 3 作者
(9) Existence of incompressible and immiscible flows in critical function spaces on bounded domains, J. Math. Fluid Mech., 2019, 通讯作者
(10) On the global well-posedness of 3-D Boussinesq system with variable viscosity, Chin. Ann. Math. Ser. B, 2019, 通讯作者
(11) Some remarks about the possible blow-up for the Navier-Stokes equations, Comm. Partial Differential Equations, 2019, 通讯作者
(12) Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction, Sci. China Math., 2019, 通讯作者
(13) Global regularity of 2-D density patches for viscous inhomogeneous incompressible flow with general density: high regularity case, Anal. Theory Appl., 2019, 通讯作者
(14) Global regularity of 2D density patches for viscous inhomogeneous incompressible flow with general density: low regularity case, Comm. Pure Appl. Math., 2019, 通讯作者
(15) 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, 中国科学, 2019, 通讯作者
(16) Large time behavior of solutions to 3-D MHD system with initial data near equilibrium, Arch. Ration. Mech. Anal., 2018, 通讯作者
(17) On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component, Calc. Var. Partial Differential Equations, 2018, 通讯作者
(18) INHOMOGENEOUS INCOMPRESSIBLE VISCOUS FLOWS WITH SLOWLY VARYING INITIAL DATA, J. Inst. Math. Jussieu, 2018, 通讯作者
(19) the global solution of a 3-D MHD system with initial data near equilibrium, Comm. Pure Appl. Math., 2017, 通讯作者
(20) On the critical one component regularity for 3-D Navier-Stokes system: general case, Arch. Ration. Mech. Anal., 2017, 通讯作者
(21) On the global well-posedness of 2-D Boussinesq system with variable viscosity, Adv. Math., 2017, 通讯作者
(22) On the critical one component regularity for 3-D Navier-Stokes systems., Annales Scientifiques de l'École Normale Supérieure. Quatrième Série, 2016, 通讯作者
(23) On the global regularity of the two-dimensional density patch for inhomogeneous incompressible viscous flow, Arch. Ration. Mech. Anal., 2016, 通讯作者
(24) Global well-posedness for Navier-Stokes equations with small initial value in B0n,∞(Ω), J. Math. Fluid Mech., 2016, 第 2 作者
(25) Long time well-posedness of Prandtl system with small and analytic initial data, J. Funct. Anal., 2016, 第 1 作者
(26) Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system, Calc. Var. Partial Differential Equations, 2015, 通讯作者
(27) On some large global solutions to 3-D density-dependent Navier-Stokes system with slow variable: well-prepared data, Ann. Inst. H. Poincaré Anal. Non Linéaire, 2015, 通讯作者
(28) Global small solutions of 2-D incompressible MHD system, J. Differential Equations, 2015, 通讯作者
(29) On the global well-posedness of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscous coefficient, J. Differential Equations, 2015, 通讯作者
(30) Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity, Sci. China Math., 2015, 通讯作者
(31) Remarks on the global solutions of 3-D Navier-Stokes system with one slow variable, Comm. Partial Differential Equations, 2015, 通讯作者
(32) Global small solutions to three-dimensional incompressible magnetohydrodynamical system, SIAM J. Math. Anal., 2015, 第 2 作者
(33) Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density, J. Funct. Anal., 2014, 通讯作者
(34) Global axisymmetric solutions to three-dimensional Navier-Stokes system, Int. Math. Res. Not. IMRN, 2014, 第 1 作者
(35) Global small solutions to an MHD-type system: the three-dimensional case., MR3168121 Reviewed Lin, Fanghua; Zhang, Ping Global small solutions to an MHD-type system: the three-dimensional case. Comm. Pure Appl. Math., 2014, 通讯作者
(36) Global large solutions to 3-D inhomogeneous Navier-Stokes system with one slow variable, J. Differential Equations, 2014, 通讯作者
(37) Global unique solvability of inhomogeneous Navier-Stokes equations with bounded density, Comm. Partial Differential Equations, 2013, 通讯作者
(38) Sums of large global solutions to the incompressible Navier-Stokes equations, J. Reine Angew. Math., 2013, 第 3 作者
(39) Sums of large global solutions to the incompressible Navier-Stokes equations, J. Reine Angew. Math., 2013, 第 3 作者
(40) Sums of large global solutions to the incompressible Navier-Stokes equations, J. Reine Angew. Math., 2013, 第 3 作者
(41) Sums of large global solutions to the incompressible Navier-Stokes equations, J. Reine Angew. Math., 2013, 第 3 作者
(42) Sums of large global solutions to the incompressible Navier-Stokes equations, J. Reine Angew. Math., 2013, 第 3 作者
(43) Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity., J. Math. Pures Appl. (9), 2013, 通讯作者
(44) Well-posedness of 3-D inhomogeneous Navier-Stokes equations with highly oscillatory initial velocity field, J. Math. Pures Appl. (9), 2013, 第 3 作者
(45) Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity., Arch. Ration. Mech. Anal., 2013, 通讯作者
(46) Global solvability of a free boundary three-dimensional incompressible viscoelastic fluid system with surface tension, Arch. Ration. Mech. Anal., 2013, 通讯作者
(47) Energy conservative solutions to a nonlinear wave system of nematic liquid crystals., Commun. Pure Appl. Anal., 2013, 第 2 作者
(48) Long-time existence of solutions to Boussinesq system, SIAM J. Math. Anal., 2012, 通讯作者
(49) Long-wave approximation to the 3-D capillary-gravity waves, SIAM J. Math. Anal., 2012, 第 2 作者
(50) Large time well-posedness of the three-dimensional capillary-gravity waves in the long wave regime, Arch. Ration. Mech. Anal., 2012, 第 2 作者
(51) Energy conservative solutions to a one-dimensional full variational wave system, Comm. Pure Appl. Math., 2012, 第 1 作者
(52) On the wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces, Arch. Ration. Mech. Anal., 2012, 通讯作者
(53) Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system, . J. Funct. Anal., 2012, 通讯作者
(54) Regularity of the Koch-Tataru solutions to Navier-Stokes system, Sci. China Math., 2012, 第 1 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 ) 不可压缩流体力学方程组的相关研究, 主持, 国家级, 2014-01--2017-12
( 2 ) 流体力学及相关问题的数学理论, 主持, 国家级, 2010-01--2013-12
( 3 ) 流体力学的数学理论, 主持, 部委级, 2010-01--2012-01
( 4 ) 偏微分方程, 主持, 国家级, 2006-01--2009-12