首页 > 校友风采

校友风采

韩丕功(数学,1994级)

工作经历

2012/02-至今,    中科院数学与系统科学研究院,研究员,博导

2007/03-2012/02,中科院数学与系统科学研究院,副研究员

2004/07-2007/03, 中科院数学与系统科学研究院,助理研究员

 

教育经历

2001/09-2004/07,中科院数学与系统科学研究院,博士

1998/09-2001/07, 厦门大学数学系, 硕士 

1996/09-1998/07,烟台师范学院数学系(专升本), 学士

1994/09-1996/07,聊城师范学院数学系,大专

 

研究方向

目前主要从事非线性偏微分方程和流体力学问题的研究,特别是应用非线性分析,如临界点理论来研究非线性偏微分方程解的存在性,多解性等;利用Fourier 分析和半群理论研究不可压缩Navier-Stokes 方程解的正则性和大时间行为。

 

主要奖励

2006年荣获百篇全国优秀博士学位论文奖

2010年荣获中国科学院卢嘉锡青年人才奖

 

主要论著

1. Pigong Han and Zhaoxia Liu, Positive Solutions for Elliptic Equations Involving Critical Sobolev Exponents and Hardy Terms with Neumann Boundary Conditions, Nonlinear Analysis, 55 (2003) 167-186.

2. Daomin Cao and Pigong Han, A Note on the Positive Energy Solutions for Elliptic Equations Involving Critical Sobolev Exponents, Applied Mathematics Letters, 16 (2003) 1105-1113.

3. Daomin Cao and Pigong Han, Multiple Positive Solutions of Nonhomogeneous Elliptic Systems with Strongly Indefinite Structure and Critical Sobolev Exponents, Journal of Mathematical Analysis and Applications, 289 (2004) 200-215.

4. Pigong Han and Zhaoxia Liu, The Sign-changing Solutions for Singular Critical Growth Semilinear Elliptic Equations, Differential and Integral Equations, 17 (2004) 835-848.

5. Daomin Cao and Pigong Han, Solutions for Semilinear Elliptic Equations with Critical Exponents and Hardy Potential, Journal of Differential Equations, 205 (2004) 521-537.

6. Pigong Han, Strongly Indefinite Systems with Critical Sobolev Exponents and Weights,Applied Mathematics Letters, 17 (2004) 909-917.

7. Pigong Han and Zhaoxia Liu, Multiple Positive Solutions of Strongly Indefinite Systems with Critical Sobolev Exponents and Data That Change Sign, Nonlinear Analysis, 58 (2004) 229-243.

8. Junning Zhao and Pigong Han, BV Solutions of Dirichlet Problem for a Class of Doubly Nonlinear Degenerate Parabolic Equations. Journal of Partial Differential Equations, 17 (2004) 241--254.

9. Pigong Han, Quasilinear Elliptic Problems with Critical Exponents and Hardy Terms, Nonlinear Analysis, 61 (2005) 735-758.

10. Pigong Han, The Dirichlet problem for a class of nonlinear degenerate parabolic equations. Journal of Inequalities and Applications, 9 (2005) 395--402.

11. Pigong Han, High Energy Positive Solutions for a Critical Growth Dirichlet Problem in Noncontractible Domains, Nonlinear Analysis, 60 (2005) 369-387.

12. Daomin Cao and Pigong Han, High Energy Positive Solutions of Neumann Problems for an Elliptic System of Equations with Critical Nonlinearities, Calculus of Variations and Partial Differential Equations, 25 (2005) 161-185.

13. Pigong Han, Existence of solutions for semilinear elliptic equations involving critical Sobolev exponents and Hardy terms. Acta Mathematica Scientia, 25 (2005) 533--544.

14. Pigong Han, Solutions for Singular Critical Growth Schrodinger Equations with Magnetic Field, Portugaliae Mathematica, 63 (2006) 37--45.

15. Pigong Han, Multiple Positive Solutions of Nonhomogeneous Elliptic Systems Involving Critical Sobolev Exponents, Nonlinear Analysis, 64 (2006) 869-886.

16. Pigong Han, Multiple Positive Solutions for a Critical Growth Problem with Hardy Potential, Proceedings of the Edinburgh Mathematical Society, 49 (2006) 53-69.

17. Daomin Cao and Pigong Han, Solutions to Critical Elliptic Equations with Multi-Singular Inverse Square Potentials, Journal of Differential Equations, 224 (2006) 332-372.

18. Pigong Han, The Effect of the Domain Topology on the Number of Positive Solutions of an Elliptic System Involving Critical Sobolev Exponents, Houston Journal of Mathematics, 32 (2006), no. 4, 1241–1257 .

19. Pigong Han, Asymptotic Behavior of Solutions to Semilinear Elliptic Equations with Hardy Potential, Proceedings of the American Mathematical Society, 135 (2007), no. 2, 365–372 .

20. Pigong Han, Multiple Solutions to Singular Critical Elliptic Equations, Israel Journal of Mathematics, 156 (2006), 359–380.

21. Pigong Han and Zhaoxia Liu, Solutions for a singular critical growth problem with a weight. J. Math. Anal. Appl.327 (2007), no. 2, 1075–1085.

22. Pigong Han and Zhaoxia Liu, On a class of critical heat equations with an inverse square potential. Differential Integral Equations20 (2007), no. 1, 27–50.

23. Pigong Han and Zhaoxia Liu, Solutions to nonlinear Neumann problems with an inverse square potential. Calc. Var. Partial Differential Equations30 (2007), no. 3, 315–352.

24. Pigong Han, Many solutions for elliptic equations with critical exponents. Israel J. Math.164 (2008), 125–152.

25. Zhaoxia Liu and Pigong Han, Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure. Appl. Anal.87 (2008), no. 3, 363–376.

26. Zhaoxia Liu and Pigong Han, Existence of solutions for singular elliptic systems with critical exponents. Nonlinear Anal.69 (2008), no. 9, 2968–2983.

27. Zhaoxia Liu and Pigong Han, Infinitely many solutions for elliptic systems with critical exponents. J. Math. Anal. Appl.353 (2009), no. 2, 544–552.

28. Pigong Han, Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains. Port. Math.67 (2010), no. 1, 57–74.

29. Pigong Han, Regularity of weak solutions to 3D incompressible Navier-Stokes equations. J. Evol. Equ.10 (2010), no. 1, 195–204.

30. Pigong Han, Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces. J. Differential Equations 249 (2010), no. 8, 1817–1852.

31. Daomin Cao and Pigong Han, Inhomogeneous critical nonlinear Schrodinger equations with a harmonic potential. J. Math. Phys.51 (2010), no. 4, 043505, 24 pp.

32. Pigong Han, Decay results of solutions to the incompressible Navier–Stokes flows in a half space. J. Differential Equations 250 (2011), no. 10, 3937–3959.

33.Pigong Han, Weighted decay properties for the incompressible Stokes flow and Navier-Stokes equations in a half space. J. Differential Equations 253 (2012) 1744-1778.

34. Han Pigong and He Cheng, Partial regularity of suitable weak solutions to the 4D incompressible magneto-hydrodynamic equations. Math. Meth. Appl. Sci. 35 (2012) 1335-1355.

35. Han Pigong and He Cheng, Decay Properties of Solutions to the Incompressible magneto-hydrodynamics Equations in a Half Space. Math. Meth. Appl. Sci. 35 (2012) 1472-1488.

36. Pigong Han, Decay rates for the incompressible Navier-Stokes flows in 3D exterior domains. J. Functional Analysis. 263 (2012) 3235-3269.

37. Pigong Han, Interior regularity of weak solutions to the perturbed Navier-Stokes equations. Application Math. 57(5) (2012) 427-444.

38. Pigong Han, Global well-posedness and scattering for the focusing nonlinear Schrodinger equation in the nonradial case. Opuscula Math. 32 (2012) 487-504.

39. Pigong Han, Algebraic L^2 decay for weak solutions of a viscous Boussinesq system in exterior domains. J. Differential Equations. 252 (2012) 6306-6323.

40. Pigong Han, Large time behavior for the incompressible Navier-Stokes flows in 2D exterior domains. Manuscripta Math. 138 (2012) 347-370.

41. 韩丕功,刘朝霞:带有临界指数的二阶椭圆型方程. 科学出版社, 2012.06