曹道民 - 中国科学院大学

个人简介

曹道民男博导中国科学院数学与系统科学研究院招生专业 070104-应用数学招生方向偏微分方程非线性分析教育背景 1986-09--1989-06 中国科学院系统科学研究所理学博士 1983-07--1986-07 湖南省湘潭大学数学系理学硕士 1979-09--1983-07 湖南省湘潭大学数学系理学学士工作经历 1997-10~2020-04,中国科学院数学与系统科学研究院, 研究员 1993-11~1997-09,中国科学院武汉数学物理研究所, 研究员 1991-01~1993-10,中国科学院武汉数学物理研究所, 副研究员 1989-06~1990-12,中国科学院武汉数学物理研究所, 助理研究员教授课程微积分III-B 微积分Ⅱ-B 微积分I-B 奖励信息（1）湖北省自然科学奖, 二等奖, 省级, 2000 （2）中国科学院青年科学家奖, 一等奖, 院级, 1999 （3）中国科学院自然科学奖, 二等奖, 部委级, 1991 科研活动 1. 国家自然科学基金面上项目，11771469，非局部薛定谔方程解的长时间行为的变分法的研究，2018/01-2021/12，在研，参与。 2. 国家自然科学基金重点项目，11331010，现代变分问题的若干问题研究，2014/01-2018/12，参与。 3. 国家自然科学基金面上项目，11271354，带间断非线性项椭圆型偏微分方程，2013/01-2016/12，已结题，主持 4. 国家自然科学基金重点项目，10631030，非线性椭圆与抛物型方程的理论及其应用研究，2007/01-2010/12，已结题，参加 5. 中国科学院知识创新工程重要方向性项目《数学物理中的若干重大问题》，2007/01-2009/12，已结题，主持 6. 973 项目“数学与其它领域交叉的若干专题”子课题《流体力学与材料科学中的偏微分方程》，2006/01-2010/12,参加，骨干成员 7. 国家自然科学基金杰出青年基金项目,10425104,非线性偏微分方程,2005/01-2008/12,已结题,主持 8. 973项目“核心数学的若干前沿问题”子项目《非线性偏微分方程》, G1990751,1999/01-2004/12,已结题,参加 9. 国家自然科学基金项目面上项目,19871091,非线性椭圆型方程的多峰解,1998/01-2001/12,已结题,主持 10. 中国科学院 “ **** ”, 1997/01-1999/12,已结题,主持。

研究领域

非线性偏微分方程, 非线性分析

近期论文

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[1] Daomin Cao, Steady vortex patches with opposite rotation directions in a planar ideal fluid，Calculus of Variations and Partial Differential Equations, 58(2019) 58:75 （with Guodong Wang） [2] Daomin Cao, Steady vortex patch solutions to the vortex-wave system，Nonlinearity，32(2019),1182-1904（with Guodong Wang） [3] Daomin Cao, Nonlinear orbital stability for planar vortex patches, Proceedings of the American Mathematical Society,147(2019),775-784.(with Jie Wan and Guodong Wang) [4] Daomin Cao, Classification of nonnegative solutions to a bi-harmonic equation with Hartree type nonlinearity, Proceedings of the Royal Society of Edinburgh, 149(2019),979-994. (with Wei Dai) [5] Daomin Cao, Local uniqueness for vortex patch problem in incompressible planar steady flow, Journal de Mathématiques Pures et Appliquées,131(2019), 251-289.(with Yuxia Guo, Shuangjie Peng and Shusen Yan) [6] Daomin Cao, Sign-changing bubble tower solutions for the supercritical Hénon-type equations, Ann. Mat. Pura. Appl. ,197(2018),1227–1246.(with Zhongyuan Liu and Shuangjie Peng) [7] Daomin Cao, Nodal solutions for a supercritical semilinear problem with variable exponent,Calculus of Variations and Partial Differential Equations, 57(2018), Art. 38, 19 pp. (with Zhongyuan Liu and Shuanglong Li) [8] Cao Daomin, Non-stationary Navier-Stokes equations with mixed boundary conditions, J. Math. Sci. Univ. Tokyo, 24 (2017), no. 2, 159–194. (with Kim Tujin) [9] Cao Daomin, The steady Navier-Stokes and Stokes systems with mixed boundary conditions including one-sided leaks and pressure, Methods Appl. Anal., 23 (2016), no. 4, 329–363. (with Kim Tujin) [10] Cao Daomin, Uniqueness of positive bound states with multi-bump for nonlinear Schrödinger equations, Calc. Var. Partial Differential Equations, 54 (2015), 4037– 4063.(with Li Shuanglong and Luo Peng) [11] Cao Daomin, Dynamics for a stochastic reaction-diffusion equation with additive noise, J. Differential Equations, 259 (2015), 838–872.(with Sun Chunyou and Yang Meihua) [12] Cao Daomin, Planar vortex patch problem in incompressible steady flow. Adv. Math., 270 (2015), 263–301. (with Peng Shuangjie and Yan Shusen) [13]. Daomin Cao, Regularization of point vortices for the Euler equation in dimension two, Arch. Rat. Mech. Anal., 212(2014),179-217.(with Zhongyuan Liu and Juncheng Wei) [14]. Daomin Cao, Minimal blow-up solutions of mass-critical inhomogeneous Hartree equation. J. Math. Phys. 54 (2013), no. 12, 121511, 25 pp. (with Su Yiming) [15]. Daomin Cao, On the Webster scalar curvature problem on the CR sphere with a cylindrical-type symmetry. J. Geom. Anal. 23 (2013), no. 4, 1674-1702.( Peng Shuangjie and Yan Shusen) [16]. Daomin Cao, Continuous dependence of Cauchy problem for nonlinear Schrödinger equation in H^s. J. Differential Equations, 255 (2013), no. 7, 2018--2064. (with Dai Wei and Yang Weihua) [17]. Daomin Cao, Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth, J. Functional Analysis, 262(2012), 2861-2902 (with S.Peng and S.Yan) [18]. Daomin Cao，Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth, J. Differential Equations, 251(2011), 1389 -1414, (with S.Yan) [19]. Daomin Cao，Convergence of solutions to the 5D Hartree equations, Colloquium Mathematicum, 125(2011), 427-445, (with Qing Guo) [20]. Daomin Cao，On ground states of spinor Bose-Einstein condensates, Nonlinear Differential Equation and Application, 18(2011), 427-445, (with J.Wei and I.L.Chern) [21]. Daomin Cao, Multiplicity of solutions for the plasma problem in two dimension, Advances in Mathematics, 225(2010), 2741-2785.（with S.Peng and S.Yan） [22]. Daomin Cao, Local exact controlability of the Navier-Stokes equations with condition on the pressure on part of the boundary, SIAM J. Control and Optim., 45(2010), 3805 -3837. (with T.J. Kim) [23]. Daomin Cao, Infinitely many solutions for an elliptic problem involving critical Sobolev growth and Hardy potential, Calculus of Variations and PDE., 38(2010), 471-501. (with Shusen Yan) [24] Cao, Daomin, Inhomogeneous critical nonlinear Schrouml;dinger equations with a harmonic potential, J. Math. Phys. , 51(2010)，no. 4, 043505, 24 pp. (with Han Pigong)

学术兼职

《应用数学学报》副主编，《数学物理学报》副主编，《Applicable Analysis》《Annales Academiae Scientiarum Fennicae, Mathematica》等刊物的编委。