曹道民

曹道民

曹道民,男,湖南常寧人,1963年生,數學家,中國科學院數學與系統科學研究院套用數學研究所所長、研究員、博士生導師。先後在湘潭大學數學系獲學士、碩士學位,1989年在中科院武漢數學物理研究所獲博士學位。

國家傑出青年科學基金獲得者(2004年),德國洪堡基金獲得者,中國科學院“百人計畫”入選者(1996年)。先後獲得中國科學院青年科學家獎一等獎(1999年)、中國科學院傑出青年(2001年)、中國科學院優秀指導老師等榮譽。

主要從事非線性偏微分方程和非線性變分問題的研究,特別是套用非線性分析,如臨界點理論來研究非線性偏微分方程解的存在性,多解性等。

發表論文90多篇。多次承擔國家自然科學基金重點項目和面上項目,作為首席科學家承擔並完成了中國科學院知識創新工程重要方向性項目《數學物理中的若干重大問題》。現任《套用數學學報》和《數學物理學報》副主編,是《中國科學》(數學),《Applicable Analysis》等刊物的編委。

基本介紹

  • 中文名:曹道民
  • 國籍:中國
  • 出生日期:1963年
  • 畢業院校湘潭大學、中國科學院
  • 主要成就:國家傑出青年科學基金獲得者
    中科院“百人計畫”
  • 性別:男
  • 籍貫:湖南常寧
生平經歷,學術訪問,社會兼職,研究方向,主要獎勵,科研項目,在研項目,已完成項目,論文論著,

生平經歷

1979年9月至1983年8月 湘潭大學數學系基礎數學專業學習,獲學士學位
曹道民曹道民
1983年9月至1986年7月 湘潭大學數學系計算數學專業學習,獲碩士學位
1986年9月至1989年6月 中科院武漢數學物理研究所攻讀博士學位
1989年6月 獲博士學位
1989年7月至1996年4月 中國科學院武漢數學物理研究所工作,歷任助理研究員、副研究員、研究員
1996年 入選中國科學院“百人計畫”到中科院套用數學所工作
1996年至今 在中國科學院數學與系統科學研究院任研究員
現任:
中科院數學與系統科學研究院套用數學研究所所長
中科院數學與系統科學研究院研究員、博士生導師

學術訪問

1991.09-1992.08 法國巴黎第九大學決策數學研究中心作訪問學者
曹道民曹道民
1994.06-1994.09 澳大利亞新南威爾斯大學作訪問學者
1995.06-1995.08 澳大利亞新南威爾斯大學作訪問學者
1995.09-1995.11 澳大利亞昆士蘭大學作訪問學者
1996.04-1997.06 受洪堡基金資助在德國科隆大學和美茵滋大學作洪堡學者
1999.03-1999.06 澳大利亞新南威爾斯大學訪問教授
2000.06-2000.08 澳大利亞新南威爾斯大學訪問教授
2001.09-2001.11 澳大利亞新南威爾斯大學訪問教授
2003.04-2003.06 澳大利亞新南威爾斯大學訪問教授
2004.05-2004.05 瑞士洛桑高工訪問教授
2005.11-2005.12 澳大利亞昆士蘭大學訪問教授

社會兼職

《套用數學學報》執行編委 《數學物理學報》執行編委 《Journal of Partial Differential Equations》執行編委 《系統科學與數學》執行編委

研究方向

主要從事非線性偏微分方程和非線性變分問題的研究,特別是套用非線性分析,如臨界點理論來研究非線性偏微分方程解的存在性,多解性等。

主要獎勵

1999年 中國科學院青年科學家獎一等獎(個人) ;
2001年 第五屆中國科學院傑出青年;
2004年 中國科學院優秀指導老師;
2005年 中國科學院優秀研究生指導教師獎;
2006年 中國科學院研究生院優秀教師

科研項目

在研項目

1. 傑出青年基金項目:“非線性偏微分方程”,2005-2008
2. 國家自然科學基金重點項目《非線性橢圓與拋物型方程的理論及其套用研究》(批准號10631030, 成員, 2007.1-2010.12)
3. 973項目《數學與其它領域交叉的若干專題》子項目"流體力學與材料科學中的偏微分方程"課題組成員,2007- -2010
4. 科學院重要方向性項目《數學物理中的若干重大問題》,首席科學家,2007.1--2010.12

已完成項目

1. 曾參加由丁夏畦院士主持的中科院重大項目"數學物理方程"的研究工作,是主要成員,項目已順利完成
2. 曾主持國家自然基金(青年)項目"無界域上變分形式的非線性橢圓型方程",1992年-1994年,批准號 19101041
3. 曾獨立完成武漢市首屆科技晨光計畫項目"非線性橢圓型方程解的存在性研究",1993年-1995年,項目編號93CGA
4. 曾參加國家自然基金項目"某些變分形式的擬線性橢圓型方程研究",為主要成員,1996年-1998年
5. 得到中科院"百人計畫"資助,1997年-1999年,終期評估時被科學院評為優秀,得到獎勵
6. 曾主持國家自然基金項目"無界域上變分形式的非線性橢圓型方程,1999年-2001年,批准號 19101041
7. 曾主持中科院院長基金特別支持項目"非線性橢圓型方程解的研究",2000年---2001年
8. 參加973項目"核心數學的若干前沿問題", 是子項目"非線性偏微分方程"課題組成員,1999- 2004

論文論著

1. Cao Daomin and Zhu Xiping, 1988, On the existence and nodal character of solutions of semilinear elliptic equations,Acta Mathematicae Scientia,Vol.8,no.3, 345-395.
2. Zhu Xiping and Cao Daomin, 1989, The concentration-compactness principle in nonlinear elliptic equations, Acta Mathematicae Scientia,Vol.9, no.1, 307-323.
3. Cao Daomin, Li Gongbao and Yan Shusen, 1989, Bifurcation for quasilinear equations on R with natural growth conditions, Proceedings of the Royal Society of Edinburgh, Vol.113A,no.3-4, 215-228.
4. Cao Daomin, 1990, Positive solutions and bifurcation from the essential spectrum of a semilinear elliptic equation on R , Nonlinear Analysis TMA , Vol.15,no.11,1045-1052.
5. Cao Daomin, 1991, Bifurcation for quasilinear elliptic system on R with natural growth conditions, Journal of London Mathematical Society, Vol.44, no.3, 514-524.
6. Daomin Cao, 1992, Nontrivial solutions of semilinear elliptic equations with critical exponent in R , Communications in Partial Differential Equations,Vol.17, no.3-4, 407-435.
7. Daomin Cao, 1993, Existence of positive solutions of semilinear elliptic equations in R , Differential and Integral Equations, Vol.6, no.3, 655-661.
8. Cao Daomin and Li Gongbao, 1993, On a variational problem proposed by H.Brezis, Nonlinear Analysis, TMA, Vol.20, no.9, 1145 -1156.
9. Cao Daomin, 1993, Multiple solutions of a Neumann problem in an exterior domain, Communications in Partial Differential Equations, Vol.18, no.3, 687-700.
10. Cao Daomin, 1993, Multiple solutions of a semilinear elliptic equation on R , Ann.Inst.Henri Poincare,Analyse non lineaire,Vol.10,no.6,593-604.
11. Cao Daomin, Li Gongbao and Zhu Huansong, 1994, Multiple solutions of imhomogenous elliptic equations involving critical Sobolev exponent, Proceeding of the Royal Society of Edinburgh, Vol.124A, no.6, 1177-1191.
12. Cao Daomin, 1995, Eigenvalue problems and bifurcations of semilinear elliptic equations in R , Nonlinear Analysis, TMA , Vol.24,no.4,529-554.
13. Cao Daomin, 1995, Positive solutions of a semilinear elliptic equation, Journal of Partial Differential Equations, Vol.8, no.3, 261-272.
14. Cao Daomin and E.S.Noussair, 1995, Multiple positive and nodal solutions for semilinear elliptic equations involving critical Sobolev exponents, Indiana University Mathematics Journal, Vol.44, no.4, 1249-1271.
15. Cao Daomin and Zhou Huansong, 1996, On the existence of multiple solutions of nonhomogenous equations involving critical Sobolev exponent, Z.angew. Math.Phys,, Vol.47, no.1, 89-96.
16. Cao Daomin, Li Gongbao and Zhong Xiao, 1996, A note on the number of nonhomogenous semilinear equations in R , Nonlinear Analysis TMA, Vol.27, no.9, 1095-1108.
17. Daomin Cao and Huansong Zhou, 1996, Multiple positive solutions of nonhomogenous equations in Rn,Proceedings of the Royal Society of Edinburgh, Vol.126A,no.2,443-463.
18. Daomin Cao and E.S.Noussair, 1996, Multiplicity of positive and nodal solutions for nonlinear elliptic problems, Ann Henri Poincare,Analyse non lineaire, Vol.13,no.5,557-588.
19. Daomin Cao and J Chabrowski, 1996, On the number of positive solutions for nonhomogenous semilinear elliptic problems, Advance in Differential Equations, Vol.1, no.5, 753-772.
20. Daomin Cao,E.N.Dancer, E.S.Noussair and Shusen Yan,1996, On the existence and profile of multi-peaked solutions to singularlyperturbed semilinear Dirichlet problems, Discrete and Continuous Dynamical System,Vol.2,no.2,221-236.
21. Daomin Cao, Gongbao Li and Huansong Zhou, 1996, Multiple positive solutions of nonhomogenous elliptic equations, Chinese Ann.Math.,Series A, Vol.17,no.4,475-482.
22. Daomin Cao and J.Chabrowski, 1997, Multiple solutions of nonhomogenous elliptic problems with critical nonlinearity, Differential and Integral Equations, Vol.10, no.5, 791-814.
23. Daomin Cao and Xiao Zhong, 1997, Multiplicity of positive solutions for semilinear elliptic equations involving the critical Sobolev exponents, Nonlinear Analysis TMA, Vol.29, no.4, 461-483.
24. Cao Daomin, E.S.Noussair and Shusen Yan, 1998, Existence and uniquness results on single-peaked solutions of a semilinear problem, Ann.H. Poincare,Analyse non lineaire, Vol.15,no.1, 73-111.
25. E.S.Noussair and Daomin Cao, 1998, Multiplicity results for an inhomogenuous nonlinear elliptic problem, Differential and Integral Equations, Vol.11,no.1, 47-59.
26. Daomin Cao, 1998, A note on the existence of multi-peaked solutions to a semilinear elliptic problem, Advances in Nonlinear Differential Equations and Related Areas, World Scientific.
27. Daomin Cao and T.Kupper, 1999, On the existence of multi-peaked solutions to a semilinear Neumann problem, Duke Mathematical Journal,Vol.97,no.2, 261-300.
28. Daomin Cao,E.S.Noussair and S.Yan, 1999, Solutions with multiple "peaks" for nonlinear elliptic equations, Proceedings of the Royal Society of Edinburgh,Vol.126A, 235-264.
29. Daomin Cao and E.S.Noussair, 2000, Multi-peak solutions for a singularly perturbed semilinear elliptic problem, Journal of Differential Equations, Vol.166,266-289
30. Daomin Cao and E.S.Noussair, 2000,Existence of symmetric multi-peaked solutions to singularly perturbed semilinear problems, Communications in Partial Differential Equations,Vol.25,2185-2232
31. Daomin Cao, E.S. Noussair and S. Yan, 2001, Existence and nonexistence of interior-peaked Solution for a nonlinear Neumann problem, Pacific Mathematics Journal, Vol. 200, 19-40.
32. Daomin Cao, M. Lucia and H.S. Zhou, 2001, A Neumann problem in exterior domain,Manuscripta Mathematica,Vol.106, 63-74.
33. Daomin Cao and E.S. Noussair, 2001, The effect of geometry of domain boundary in an elliptic Neumann problem, Advances in Differential Equations,Vol.6, 935-958.
34. Daomin Cao, E.S. Noussair and S.Yan, 2001, Symmetric solutions for a Neumann problem involving critical exponent, Proceedings of the Royal Society of Edinburgh,Vol.131A, 1039-1064.
35. Daomin Cao, E.S. Noussair and S.Yan, 2002, On the scalar curvature equation - u=(1+ K) u in R , Calculus of Variation and Partial Differential Equations , Vol.15,403-419.
36. Daomin Cao and Shuangjie Peng, 2003, A compactness result for singular elliptic problems involving critical Sobolev exponent, Proceedings of the American Mathematical Society, Vol. 131,1857-1866.
37. Daomin Cao and Shuangjie Peng, 2003,The Asymptotic behaviour of the ground state solutions for Henon equation, Journal of Mathematical Analysis and applications, Vol. 278,1-17.
38. Daomin Cao and H.P. Heinz, 2003,Uniqueness of positive multi-lump bound states of nonlinear Schrodinger equations, Mathematische Zeitschrift , Vol 243,599-642
39. Daomin Cao and Pigong Han, 2003, A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents, Applied Mathematics Letters, Vol.16,1105-1113.
40. Daomin Cao and Pigong Han,2004, Solution for semilinear elliptic equations with critical exponents and Hardy potential, Journal of Differential Equations, Vol.205,521-537.
41. Daomin Cao and E.S.Noussair,2004, Multi-bump standing waves with a critical frequency for nonlinear Schrodinger equations, Journal of Differential Equations, Vol.203 , 292--312.
42. Daomin Cao and Pigong Han,2005, High energy positive solution for Neumann problem of an elliptic system of equations with critical nonlinearities, Calculus of Variation and Partial Differential Equations , Vol. 25,161-185.
43. Daomin Cao and Shuangjie Peng, 2006, Multi-bump bouded states of Schrodinger equations with critical frequency, Mathematische Annalen, Vol.336, 925-948.
44. Daomin Cao and Pigong Han, 2006, Solutions to critical elliptic equations with multi-singular inverse square potentials, Journal of Differential Equations, Vol.224,332-372.
45. Daomin Cao and Zhongwei Tang, 2006, Existence and uniqueness of multi-bump bounded sates of nonlinear Schrodinger equations with electromagnetic fields, Journal of Differential Equations, Vol.222, 189-205.
46. Ravi P.Agarwal, Daomin Cao, H.S. and D.O'Regan, 2006, Existence and multiplicity of positive solutions for singular semipostone p-Laplacian equations, Canadian Journal of Mathematics, Vol.58 ,449-475.
47. Daomin Cao and Shuangjie Peng, 2006, Asymptotic behavior for elliptic problems with singular coefficient and nearly critical potential, Ann. Mat. Pura Appl., Vol.185, 189 - 205.
48. X.H.Tang, Daomin Cao and X.F. Zou, 2006, Global attractivity of positive periodic solution to Lotka-Volterra competition systems with pure delay, Journal of Differential Equations, Vol.228, 580-610.
49. Daomin Cao, E.S.Noussair and S.Yan, 2006, Multiplicity of asymptotic solutions for nonlinear elliptic problems, Quarterly of Applied Mathematics, Vol.64,468-482.
50. Sun Chunyou, Daomin Cao and Jinqiao Duan, 2006, Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity, Nonlinearity, Vol.19, 2645-1665.
51. Daomin Cao, E.S.Noussair and S.Yan , Multiscale-bump standing waves with a critical frequency for nonlinear Schrodinger equations, Transaction of American Mathematical Society, to appear.
52. Wei Wang, Daomin Cao and Jinqiao Duan, Effective macroscopic dynamics of stochastic partial differential equations in perforated domains, SIAM Journal of Mathematical Analysis, to appear
53. Sun Chunyou, Daomin Cao and Jinqiao Duan, Uniform attractors for non-autonomous wave equations with nonlinear damping,SIAM Journal on Applied Dynamical Systems, to appear

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