个人简介
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
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
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
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
近期论文
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(1) Existence of incompressible and immiscible flows in critical function spaces on bounded domains, J. Math. Fluid Mech., 2019, 第 11 作者
(2) On the global well-posedness of 3-D Boussinesq system with variable viscosity, Chin. Ann. Math. Ser. B, 2019, 第 11 作者
(3) Some remarks about the possible blow-up for the Navier-Stokes equations, Comm. Partial Differential Equations, 2019, 第 11 作者
(4) Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction, Sci. China Math., 2019, 第 11 作者
(5) Global regularity of 2-D density patches for viscous inhomogeneous incompressible flow with general density: high regularity case, Anal. Theory Appl., 2019, 第 11 作者
(6) Global regularity of 2D density patches for viscous inhomogeneous incompressible flow with general density: low regularity case, Comm. Pure Appl. Math., 2019, 第 11 作者
(7) 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, 第 11 作者
(8) Large time behavior of solutions to 3-D MHD system with initial data near equilibrium, Arch. Ration. Mech. Anal., 2018, 第 11 作者
(9) On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component, Calc. Var. Partial Differential Equations, 2018, 第 11 作者
(10) INHOMOGENEOUS INCOMPRESSIBLE VISCOUS FLOWS WITH SLOWLY VARYING INITIAL DATA, J. Inst. Math. Jussieu, 2018, 第 11 作者
(11) the global solution of a 3-D MHD system with initial data near equilibrium, Comm. Pure Appl. Math., 2017, 第 11 作者
(12) On the critical one component regularity for 3-D Navier-Stokes system: general case, Arch. Ration. Mech. Anal., 2017, 第 11 作者
(13) On the global well-posedness of 2-D Boussinesq system with variable viscosity, Adv. Math., 2017, 第 11 作者
(14) 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
(15) On the global regularity of the two-dimensional density patch for inhomogeneous incompressible viscous flow, Arch. Ration. Mech. Anal., 2016, 第 11 作者
(16) Global well-posedness for Navier-Stokes equations with small initial value in B0n,∞(Ω), J. Math. Fluid Mech., 2016, 第 2 作者
(17) Long time well-posedness of Prandtl system with small and analytic initial data, J. Funct. Anal., 2016, 第 1 作者
(18) Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system, Calc. Var. Partial Differential Equations, 2015, 第 11 作者
(19) 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, 第 11 作者
(20) Global small solutions of 2-D incompressible MHD system, J. Differential Equations, 2015, 第 11 作者
(21) On the global well-posedness of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscous coefficient, J. Differential Equations, 2015, 第 11 作者
(22) Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity, Sci. China Math., 2015, 第 11 作者
(23) Remarks on the global solutions of 3-D Navier-Stokes system with one slow variable, Comm. Partial Differential Equations, 2015, 第 11 作者
(24) Global small solutions to three-dimensional incompressible magnetohydrodynamical system, SIAM J. Math. Anal., 2015, 第 2 作者
(25) Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density, J. Funct. Anal., 2014, 第 11 作者
(26) Global axisymmetric solutions to three-dimensional Navier-Stokes system, Int. Math. Res. Not. IMRN, 2014, 第 1 作者
(27) 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, 第 11 作者
(28) Global large solutions to 3-D inhomogeneous Navier-Stokes system with one slow variable, J. Differential Equations, 2014, 第 11 作者
(29) Global unique solvability of inhomogeneous Navier-Stokes equations with bounded density, Comm. Partial Differential Equations, 2013, 第 11 作者
(30) Sums of large global solutions to the incompressible Navier-Stokes equations, J. Reine Angew. Math., 2013, 第 3 作者
(31) Sums of large global solutions to the incompressible Navier-Stokes equations, J. Reine Angew. Math., 2013, 第 3 作者
(32) Sums of large global solutions to the incompressible Navier-Stokes equations, J. Reine Angew. Math., 2013, 第 3 作者
(33) Sums of large global solutions to the incompressible Navier-Stokes equations, J. Reine Angew. Math., 2013, 第 3 作者
(34) Sums of large global solutions to the incompressible Navier-Stokes equations, J. Reine Angew. Math., 2013, 第 3 作者
(35) Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity., J. Math. Pures Appl. (9), 2013, 第 11 作者
(36) 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
(37) Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity., Arch. Ration. Mech. Anal., 2013, 第 11 作者
(38) Global solvability of a free boundary three-dimensional incompressible viscoelastic fluid system with surface tension, Arch. Ration. Mech. Anal., 2013, 第 11 作者
(39) Energy conservative solutions to a nonlinear wave system of nematic liquid crystals., Commun. Pure Appl. Anal., 2013, 第 2 作者
(40) Long-time existence of solutions to Boussinesq system, SIAM J. Math. Anal., 2012, 第 11 作者
(41) Long-wave approximation to the 3-D capillary-gravity waves, SIAM J. Math. Anal., 2012, 第 2 作者
(42) 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
(43) Energy conservative solutions to a one-dimensional full variational wave system, Comm. Pure Appl. Math., 2012, 第 1 作者
(44) On the wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces, Arch. Ration. Mech. Anal., 2012, 第 11 作者
(45) Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system, . J. Funct. Anal., 2012, 第 11 作者
(46) Regularity of the Koch-Tataru solutions to Navier-Stokes system, Sci. China Math., 2012, 第 1 作者
学术兼职
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