基本信息
吴刚 男 硕导 数学科学学院
电子邮件: wugang2011@ucas.ac.cn
通信地址: 北京市石景山区玉泉路19号(甲)科研楼422房间
邮政编码: 100049
电子邮件: wugang2011@ucas.ac.cn
通信地址: 北京市石景山区玉泉路19号(甲)科研楼422房间
邮政编码: 100049
研究领域
- Littlewood-Paley 理论及其在不可压Navier-Stokes 方程、Euler 方程、Quasigeostrophic(QG)方程和Magnetohydrodynamics(MHD)方程等流体动力学方程中的应用
- 非线性抛物方程和分数阶耗散方程
招生信息
招生专业
070101-基础数学
招生方向
偏微分方程
教育背景
2006-09--2009-07 中国工程物理研究院 理学博士2001-09--2003-07 吉林大学 理学硕士1997-09--2001-07 吉林大学 理学学士
工作经历
工作简历
2015-11~现在, 中国科学院大学, 副教授2011-06~2015-11,中国科学院大学, 讲师2009-07~2011-06,中国科学院数学与系统科学研究院, 博士后2003-07~2006-07,东北大学东软信息学院, 讲师
教授课程
微积分Ⅲ习题-A01-1微积分III微积分II习题课-A03-1微积分Ⅱ-A微积分I习题-A03-1微积分I-A微积分II习题课-B01-1微积分Ⅱ-B微积分I习题-B01-1微积分I-B微积分I习题课-B01-1微积分Ⅲ-B01-2微积分III-B微积分III习题课-B01-1偏微分方程概论Ⅱ数学物理方程(电子与通信类)抛物型偏微分方程
出版信息
发表论文
(1) ε-Regularity criteria in anisotropic Lebesgue spaces and Leray's self similar solutions to the 3D Navier-Stokes equations, Zeitschrift Fur Angewandte Mathematik Und Physik, 2020, 第 2 作者(2) A regularity criterion at one scale without pressure for suitable weak solutions to the Navier-Stokes equations, Journal of Differential Equations, 2019, 第 2 作者(3) Remarks on the singular set of suitable weak solutions for the three-dimensional Navier-Stokes equations, Journal of Mathematical Analysis and Applications, 2018, 第 3 作者(4) Some Interior Regularity Criteria Involving Two Components for Weak Solutions to the 3D Navier – Stokes Equations, Journal of Mathematical Fluid Mechanics, 2018, 第 2 作者(5) 三维广义磁流体方程组解的最优衰减率, Optimal Decay Estimates of Solutions to the Three-dimensional Generalized MHD Equations, 数学学报中文版, 2018, 第 2 作者(6) Global mild solution of the generalized Navier–Stokes equations with the Coriolis force, Applied Mathematics Letters, 2018, 第 2 作者(7) Endpoint regularity criterion for weak solutions of the 3D incompressible liquid crystals system, Math. Meth. Appl. Sci., 2018, 第 3 作者(8) Global Well-posedness of the 3D Generalized Rotating Magnetohydrodynamics Equations, Acta Mathematica Sinica, English Series, 2018, 第 2 作者(9) Global mild solution of the generalized Navier-Stokes equations with the Coriolis force, Acta Mathematica Sinica-English Series, 2018, 第 2 作者(10) On the box-counting dimension of the potential singular set for suitable weak solutions to the, Nonlinearity, 2017, 第 2 作者(11) Partial Regularity of the Suitable Weak Solutions to the Multi-dimensional Incompressible BoussinesqEquations, Journal of Dynamics and Differential Equations, 2016, 第 3 作者(12) Local regularity criteria of the 3D Navier–Stokes and related equations, Nonlinear Analysis: Theory, Methods & Applications, 2016, 第 2 作者(13) Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamicsequations, Communications in Contemporary Mathematics, 2016, 第 3 作者(14) Anisotropic Regularity Conditions for the Suitable Weak Solutions to the 3D Navier–Stokes Equations, Journal of Mathematical Fluid Mechanics, 2016, 第 2 作者(15) Refined regularity class of suitable weak solutions to the 3D magnetohydrodynamicsequations with an application, Zeitschrift fur angewandte Mathematik und Physik, 2016, 第 2 作者(16) Partial Regularity for the 3D Magneto-hydrodynamics System with Hyper-dissipation, Acta Mathematica Sinica-English Series, 2015, 第 2 作者(17) A unified proof on the partial regularity for suitable weak solutions of non-stationary and stationary Navier-Stokes equations, Journal of Differential Equations, 2014, 第 2 作者(18) Global well-posedness for the two-dimensional nonlinear Boussinesq equations with vertical dissipation, Journal of Differential Equations, 2013, 第 1 作者(19) Global well-posedness of the aggregation equation with supercritical dissipation in Besov spaces, ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2013, 第 1 作者(20) Global well-posedness for Navier-Stokes equations in critical Fourier-Herz spaces, Nonlinear Anal.-Theory Methods Appl., 2012, 第 2 作者(21) Global well-posedness for the 2D inviscid Bénard system with fractional diffusivity and Yudovichs type data, J. Differ. Equ., 2012, 第 1 作者(22) On the well-posedness for Keller-Segel system with fractional diffusion , Math. Meth. Appl. Sci., 2011, 第 1 作者(23) Inviscid limit for axisymmetric flows without swirl in a critical Besov space, Zeitschrift Fur Angewandte Mathematik Und Physik, 2010, 第 1 作者(24) Local well-posedness of the viscous rotating shallow water equations with a term of capillarity, ZAMM-Z. Angew. Math. Mech., 2010, 第 1 作者(25) A remark on the Lipschitz estimates of solutions to Navier-Stokes equations, Math. Meth. Appl. Sci., 2010, 第 1 作者(26) Two-dimensional chemotaxis models with fractional diffusion, Math. Meth. Appl. Sci. , 2009, 第 2 作者(27) Global well-posedness of the critical Burgers equation in critical Besov spaces, J. Differ. Equ., 2009, 第 2 作者(28) Regularity criteria for the 3D generalized MHD equations in terms of vorticity, Nonlinear Anal.-Theory Methods Appl. , 2009, 第 1 作者(29) On the inviscid limit of the two-dimensional Navier-Stokes equations with fractional diffusion, Adv. Math. Sci. Appl., 2008, 第 3 作者(30) Well-posedness of the Cauchy problem for the fractional power dissipative equation in critical Besov spaces, J. Math. Anal. Appl. , 2008, 第 1 作者(31) Local well-posedness of the Cauchy problem for the generalized Camassa-Holm equation in Besov spaces, Appl. Math. (Warsaw) , 2007, 第 1 作者(32) 以Dirac测度为源的拟线性退化抛物方程, Quasilinear degenerate parabolic equation with Dirac measure, Chinese Ann. Math. Ser. A, 2005, 第 2 作者
科研活动
科研项目
( 1 ) 流体动力学方程的调和分析方法, 主持, 国家级, 2012-01--2014-12( 2 ) 几类非线性发展方程的数学理论, 参与, 研究所(学校), 2012-05--2014-04( 3 ) 微分算子特征值的最优估计, 参与, 国家级, 2017-01--2020-12( 4 ) 关于一些流体动力学方程的数学理论, 主持, 国家级, 2018-01--2021-12
指导学生
现指导学生
敏德载 硕士研究生 070101-基础数学
姚卓雅 硕士研究生 070101-基础数学