尤建功 ﹐男﹐1963年3月出生﹐江蘇六合人,畢業(yè)于江蘇師范大學(xué)。
人物經(jīng)歷
現(xiàn)任南開(kāi)大學(xué)陳省身數(shù)學(xué)研究所教授、博士生導(dǎo)師。1983年畢業(yè)于徐州師范學(xué)院﹔1989年獲北京大學(xué)理學(xué)博士學(xué)位,1989-1991年在南京大學(xué)做博士后,1986年獲南京大學(xué)理學(xué)碩士學(xué)位﹔1989年獲北京大學(xué)理學(xué)博士學(xué)位后到南京大學(xué)任教,任數(shù)學(xué)系系主任。1994年2月8日訪問(wèn)瑞士蘇黎世高工(蘇黎世聯(lián)邦理工學(xué)院)數(shù)學(xué)研究所﹔1995年至1997年受德國(guó)洪堡基金會(huì)資助在科隆大學(xué)和慕尼黑工業(yè)大學(xué)做合作研究﹔1998年2月至8月在羅馬第三大學(xué)做訪問(wèn)教授。1998年成為國(guó)家非線性科學(xué)攀登項(xiàng)目組正式成員﹔1999年獲得國(guó)家杰出青年基金﹔2000年成為國(guó)家重點(diǎn)基礎(chǔ)研究發(fā)展規(guī)劃項(xiàng)目組(非線性科學(xué))成員。
1991年起歷任南京大學(xué)講師、副教授、教授、博士生導(dǎo)師、長(zhǎng)江學(xué)者、數(shù)學(xué)系主任,2016年起任南開(kāi)大學(xué)陳省身數(shù)學(xué)研究所教授、博士生導(dǎo)師。曾在德國(guó)科隆大學(xué)和慕尼黑工大做亞歷山大·馮·洪堡學(xué)者;曾訪問(wèn)瑞士蘇黎世高工(蘇黎世聯(lián)邦理工學(xué)院)數(shù)學(xué)研究所等多所國(guó)外著名大學(xué)。在Duffing方程的穩(wěn)定性,KAM理論,哈密頓偏微分方程的擬周期運(yùn)動(dòng)、埃爾溫·薛定諤映射的譜理論等方面做出了一系列深刻的工作。
2018年8月1日至8月9日,第28屆國(guó)際數(shù)學(xué)家大會(huì)在巴西里約熱內(nèi)盧召開(kāi),尤建功教授應(yīng)邀參加第28屆國(guó)際數(shù)學(xué)家大會(huì)并于2日作45分鐘特邀報(bào)告,報(bào)告題目為“定量幾乎可約性理論及其應(yīng)用”,主要介紹尤建功教授與合作者在擬周期線性系統(tǒng)可約性及其在算子譜理論中的應(yīng)用方面的一些成果。這是自2002年以來(lái),繼龍以明院士、張偉平院士之后,南開(kāi)大學(xué)學(xué)者又一次應(yīng)邀在國(guó)際數(shù)學(xué)家大會(huì)上作主題報(bào)告。
國(guó)際數(shù)學(xué)家大會(huì)(International Congress of Mathematicians,簡(jiǎn)稱ICM)是由國(guó)際數(shù)學(xué)聯(lián)盟主辦的全球性數(shù)學(xué)學(xué)術(shù)會(huì)議,是國(guó)際數(shù)學(xué)屆的盛會(huì),每四年舉辦一次。會(huì)議的主要內(nèi)容是進(jìn)行學(xué)術(shù)交流,并在開(kāi)幕式上頒發(fā)菲爾茲獎(jiǎng)(1936年起)、內(nèi)萬(wàn)林納獎(jiǎng)(1982年起)、高斯獎(jiǎng)(2006年起)和陳省身獎(jiǎng)(2010年起)。首屆國(guó)際數(shù)學(xué)家大會(huì)于1897年在瑞士蘇黎世舉行,至今共舉辦了27屆。1900年巴黎大會(huì)之后,除兩次世界大戰(zhàn)期間外,國(guó)際數(shù)學(xué)家大會(huì)從未中斷,2002年在中國(guó)北京舉辦了第24屆大會(huì)。
在每屆數(shù)學(xué)家大會(huì)上,組委會(huì)都會(huì)邀請(qǐng)一批在相關(guān)領(lǐng)域做出杰出工作的著名數(shù)學(xué)家作主題報(bào)告,這標(biāo)志著數(shù)學(xué)家的工作得到了國(guó)際數(shù)學(xué)界的普遍認(rèn)可和贊譽(yù),同時(shí),對(duì)于數(shù)學(xué)家而言,也是非常高的榮譽(yù)。
2021年8月,入選2021年中國(guó)科學(xué)院院士增選初步候選人名單。
任免信息
2017年12月,當(dāng)選中國(guó)民主同盟第十二屆中央委員會(huì)委員。
主要成就
研究方向
主要是動(dòng)力系統(tǒng)﹐特別是Hamilton動(dòng)力系統(tǒng)。
主要貢獻(xiàn)
現(xiàn)承擔(dān)國(guó)家基金委重點(diǎn)項(xiàng)目和國(guó)家重大基礎(chǔ)研究規(guī)劃項(xiàng)目。
研究成果主要集中在KAM理論及其在常微分方程和偏微分方程中的應(yīng)用方面﹔對(duì)低維環(huán)面的KAM理論做出了重要發(fā)展﹐在第一Melnikov非共振條件下得到了不變環(huán)面的存在性﹐并用于研究了國(guó)際上非常活躍的Hamilton偏微分方程的擬周期解問(wèn)題﹔研究成果否定了1994年菲爾茲獎(jiǎng)獲得者Bourgain認(rèn)為KAM理論不能用于重法頻率的看法﹔解決了KAM理論創(chuàng)始人之一Moser關(guān)於擺方程Lagrange穩(wěn)定性的一個(gè)公開(kāi)問(wèn)題﹔受到了國(guó)際同行的重視和好評(píng)。
學(xué)術(shù)論文
1.Persistence of lower dimensional tori under the first Melnikov's non-共振 condition, to appear in Journal de Mathematiques Pures et Appliquees, 2001(with J.Xu).
3.KAM tori for 1D nonlinear wave equations with periodic boundary condition, Communications in Mathematical 物理學(xué), Vol. 211(2), 497-525, 2000(with l, Chierchia).
Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems. Invent. 數(shù)學(xué) 190 (2012), no. 1, 209–260. Article; E-Journal.
X. Hou and J. You
An infinite dimensional KAM theorem and its application to the two dimensional cubic Schr?dinger 方程 Adv. Math. 226 (2011), no. 6, 5361–5402. Article; E-Journal.
J. Gen.G, X. Xu and J. You
Persistence of the non-twist 環(huán)面 in nearly integrable Hamiltonian systems. Proc. Amer. 數(shù)學(xué) Soc. 138 (2010), no. 7, 2385–2395.Article; E-Journal.
J. Xu and J. You
Local rigidity of reducibility of analytic quasi-periodic cocycles on U(n). Discrete Contin. Dyn. Syst. 24 (2009), no. 2, 441–454.Article; E-Journal.
X. Hou and J. You
Corrigendum for the paper: "Two-dimensional invariant tori in the Neighborhood of an elliptic Equilibrium of Hamiltonian systems" in Acta Mathematica Sinica, English Series August 2009, 容積單位 25, Issue 8, pp 1363-1378 Article
H. Lu and J. You
Two-dimensional invariant tori in the Neighborhood of an elliptic Equilibrium of Hamiltonian systems. Acta Mathematica Sinica, English Series August 2009, 容積單位 25, Issue 8, pp 1363-1378. Article; E-Journal.
H. Lu and J. You
Full measure reducibility for generic one-parameter family of quasi-periodic linear systems. J. DynamDifferential Equations 20 (2008), no. 4, 八三夭866. Article; E-Journal.
H. He and J. You
The rigidity of reducibility of cocycles on SO(N ,R). Nonlinearity 21 (2008),no. 10, 2317–2330. Article; E-Journal.
X. Hou and J. You
Diophantine vectors in analytic submanifolds of Euclidean spaces. Sci. China Ser. A. 50 (2007), no. 9, 1334–1338. Article; E-Journal.
R. Cao and J. You
Corrigendum for the paper: "Invariant tori for nearly integrable Hamiltonian systems with degeneracy" [數(shù)學(xué) Z. 226 (1997), no. 3, 375–387] by Xu, You, and Q. 裘姓. Math. Z. 257 (2007), no. 4, 939. Article; E-Journal.
J. Xu and J. You
Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Rüssmann's non-degeneracy condition. J. Differential Equations 235 (2007), no. 2, 609–622. Article; E-Journal.
J. Xu and J. You
KAM Tori for Higher Dimensional Beam 方程 with Constant Potentials, Nonlinearity 19 (2006), no. 10, 2405–2423. Article; E-Journal.
J. Gen.G and J. You
The Existence of Integrable Invariant Manifolds of Hamiltonian Partial Differential Equations, Discrete and Continuous Dynamical Systems 16 (2006, no. 1-227–234. Article; E-Journal.
R.Cao and J. You
An Improved Result for Positive Measure Reducibility of Quasi- periodic Linear Systems, Acta Mathematica Sinica (English series) 22 1), 2006, 77-86. Article; E-Journal.
H. He and J. You
A KAM Theorem for Partial Differential Equations in Higher Dimensional Space樂(lè)隊(duì), Communications in Mathematical 物理學(xué), Vol.262(2, 2006, 343-372. Article; E-Journal.
J.Gen.G and J.You
Umbilical 環(huán)面 Bifurcations in Hamiltonian Systems, J. Differential Equations, Vol. 222(1), 2006, 233-262. Article; E-Journal.
H. Broer, H. Hanssmann and J. You
A simple proof of diffusion approximations for LBFS re-entrant lines, Oper. Res. Lett., 34(2006), no. 2, 199–204. Article; E-Journal.
J. Yang, J.G. Dai, J. You and H. Zhang
Quasi-Periodic Solutions for 1D Schr?dinger Equations with Higher Order Nonlinearity, SIAM J. Mathematical Analysis, 36(2005), 1965-1990. Article; E-Journal.
Z. Liang and J. You
Bifurcations of Normally Parabolic Tori in Hamiltonian Systems, Nonlinearity, 18 (2005) 1735-1769. Article; E-Journal.
H. Broer, H. Hanssmann and J. You
A KAM Theorem for One Dimensional Schr?dinger 方程 with Periodic Boundary Conditions, J. Differential Equations, 209, 2005, 1-56. Article; E-Journal.
J. Gen.G and J. You
KAM tori of Hamiltonian perturbations of 1D linear beam equations, J.數(shù)學(xué)Anal.Appl., 277, 2003, 104-121. Article; E-Journal.
J. Geng and J. You
A Symplectic Map and its Application to the Persistence of Lower Dimensional InvariantTori, Science in China, 45(5), 2002,598-603. Article; E-Journal.
教學(xué)成果
??Mathematical Analysis (Fall 2005-2008, undergraduate freshman courses).
??Geometrical Methods in the Theory of Ordinary Differential Equations (Fall 2009-2011, undergraduate junior courses).
??Seminar of Dynamical Systems (Spring 2011-2014, undergraduate junior courses).
??Dynamical Systems (Spring 2008-2010, graduate courses).
??Differential Dynamical Systems (Spring 2011, graduate course).
??Hamiltonian Systems and N-Body Problems(Spring 2012, graduate course).
??Chaos in Dynamical Systems (Spring 2013, graduate course).
研究成果
1.(with Wang, Jing) Boundedness of solutions for non-linear differential equations with Liouvillean 頻率 J. Differential 方程s 261(2016), no, 2, 1068 – 1098.
2.(with Zhou, Qi) Simple counter-examples to Kotani-Last conjecture via reducibility,International 數(shù)學(xué) Research Notices IMRN 2015,no. 19, 9450-9455.?
3.(Zhang, Shiwen and Zhou, Qi) 小數(shù)點(diǎn) spectrum for quasi-periodic long range operators, J. Spectr. Theory 4 (2014), no, 4, 769 – 781.?
4.(with Zhou, Qi) Phase transition and semi-global reducibility. Comm. 數(shù)學(xué) Phys. 330 (2014),no. 3, 1095–1113.?
5.(with Zhang, Shiwen) Holder continuity of the Lyapunov exponent for analytic quasiperiodic Schrodinger cocycle with weak Liouville 頻率 Ergodic Theory Dynam. Systems 34 (2014), no. 4, 1395–1408.
6.(with Gen.G, Jiansheng and Zhao, Zhiyan) Localization in ONE FCdimensional quasi-periodic nonlinear systems. Geom. Funct. Anal. 24 (2014), no. 1, 116–158.
7.(with Broer, Henk W. and Hanbmann, Heinz) On the Destruction of resonant Lagrangean tori in Hamiltonian systems. Recent trends in dynamical systems, 317–333, Springer Proc. 數(shù)學(xué) Stat., 35, Springer, Basel, 2013.?
8.(with Wang, Yiqian) Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles. Duke Math. J. 162 (2013), no. 13, 2363–2412.?
9.(with Zhou, Qi,Embedding of analytic quasi-periodic cocycles into analytic quasi-periodic linear systems and its applications. Comm. 數(shù)學(xué) Phys. 323 (2013), no. 3, 975–1005.
10.(with Wu, Jian) Reducibility of slow quasi-periodic linear systems, Proc. Amer. Math. Soc. 141(2013), no. 9, 3147 – 3155.
11.(with X. Hou) Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems. Invent. 數(shù)學(xué) 190 (2012), no. 1, 209–260.?
12.(with J. Geng and X. Xu) An infinite dimensional KAM theorem and its application to the two dimensional cubic Schr?dinger 方程. Adv. Math. 226 (2011), no. 6, 5361–5402.?
13.(with J. Xu) Persistence of the non-twist 環(huán)面 in nearly integrable Hamiltonian systems. Proc. Amer. 數(shù)學(xué) Soc. 138 (2010), no. 7, 2385–2395.?
14.(with X. Hou) Local rigidity of reducibility of analytic quasi-periodic cocycles on U(n). Discrete Contin. Dyn. Syst. 24 (2009), no. 2, 441–454.?
15.(with H. He) Full measure reducibility for generic one-parameter family of quasi-periodic linear systems. J. Dynam. Differential Equations 20 (2008), no. 4, 831–866.?
16.(with X. Hou) The rigidity of reducibility of cocycles on SO(N ,R). Nonlinearity 21 (2008), no. 10, 2317–2330.?
17.(with J. Xu) Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Rüssmann's non-degeneracy condition. J. Differential Equations 235 (2007), no. 2, 609–622.?
18.(with J. Geng) KAM Tori for Higher Dimensional Beam Equation with Constant Potentials, Nonlinearity 19 (2006), no. 10, 2405–2423.?
19.(with R.Cao) The Existence of Integrable Invariant Manifolds of Hamiltonian Partial Differential Equations, Discrete and Continuous Dynamical Systems 16 (2006), no. 1, 227–234.?
20.(with H. He) An Improved Result for Positive Measure Reducibility of Quasi- periodic Linear Systems, Acta Mathematica Sinica (English series) 22 (1), 2006, 77-86.?
21.(with J.Geng) A KAM Theorem for Partial Differential 方程s in Higher Dimensional Space, Communications in Mathematical 物理學(xué), Vol.262(2), 2006, 343-372.?
22.(with H. Broer and H. Hanssmann) Umbilical 環(huán)面 Bifurcations in Hamiltonian Systems, J. Differential Equations, Vol. 222(1), 2006, 233-262.?
23.(with Z. Liang) Quasi-Periodic Solutions for 1D Schrodinger Equations with Higher Order Nonlinearity, SIAM J. Mathematical Analysis, 36(2005), 1965-1990.?
24.(with H. Broer and H. Hanssmann) Bifurcations of Normally Parabolic Tori in Hamiltonian Systems, Nonlinearity, 18 (2005) 1735-1769.?
25.(with J. Geng) A KAM Theorem for One Dimensional Schrodinger Equation with Periodic Boundary Conditions, J. Differential Equations, 209, 2005, 1-56.?
26.(with J. Geng) KAM tori of Hamiltonian perturbations of 1D linear beam equations, J.數(shù)學(xué)Anal.Appl., 277, 2003, 104-121.?
27.(with J. Xu) A Symplectic Map and its Application to the Persistence of Lower Dimensional InvariantTori, Science in China, 45(5), 2002, 598-603.?
28.(with J. Xu) Persistence of lower dimensional tori under the first Melnikov’s non-共振 condition, Journal de Mathematiques Pures et Appliquees, 80 (10), 2001, 1045-1067.?
29.KAM theory for lower dimensional tori of nearly integrable Hamiltonian systems, Progress in Nonlinear Analysis, edited by 圓錐角膜Chang and Y. Long, World Scientific, 2000, 409-423.?
30.(with L. Chierchia) KAM tori for 1D nonlinear wave equations with periodic boundary conditions, Communications in Mathematical 物理學(xué), Vol.211(2, 497-525, 2000.?
31.(with F-Z. Cong, T. Kupper and Y. Li) KAM-type theorem on resonant surfaces for nearly integrable Hamiltonian systems, J. Nonlinear Science, Vol.10, 49-68, 2000.?
32.Lower dimensional tori of reversible Hamiltonian systems in the resonant zone, Dynamical Systems, Proceedings of the International Conference in Honor of Professor Liao Shantao, 9-12, August, 1998. Editors, Yunping Jiang, Lan Wen, World Scientific, 1999, 301-314.?
33.Perturbations of lower dimensional tori for Hamiltonian systems, J.Differential Equations, Vol. 152, 1-29, 1999.
34.(with T. Kupper) Existence of quasiperiodic solutions and Littlewood's boundedness problem of Duffing equations with subquadratic potentials, Nonlinear Anal. 35 (1999), no. 5, Ser. A: Theory Methods, 549-559.?
35.A KAM theorem for hyperbolic type degenerate lower dimensional tori in Hamiltonian systems, Communications in Mathematical 物理學(xué), Vol.192, 145-168, 1998.?
36.(with B. Liu) Quasiperiodic solutions of Duffing's Equations, J. Nonlinear Analysis: TMA, 1998.
37.(with M. Levi) Oscillatory escape in a Duffing equation with Polynomial potentials, J. Differential Equations, Vol.140, pp 415-426, 1997.?
38.(with M. Kunze and T. Kupper) On the Application of KAM Theory to Discontinuous Dynamical Systems, J. Differential Equations, Vol. 139, pp.1-21, 1997.?
39.(with J. Xu and Q. 裘姓) Invariant tori of nearly integrable Hamiltonian systems with degeneracy, Mathematische Zeitschrift, Vol.226, 375-386, 1997.
40.(with J. Xu and Q. Qiu) A KAM Theorem of Degenerate Infinite Dimensional Hamiltonian Systems(I,II), Science in China, Vol.39(4), 372-394, 1996.?
41.(with Y. Wang) Boundedness of solutions for 時(shí)間 dependent 多項(xiàng)式 potentials with C2 coefficients, Z. Angew. 數(shù)學(xué) Phys. , Vol. 47, 1996.?
42.(with J. Xu) On reducibility of linear differential equations with almost periodic coefficients, 漢語(yǔ)詞類 Journal of CONTEMPORARY Mathematics, Vol.17 (1996), 375-386.?
43.Quasiperiodic solutions for a class of quasiperiodic forced differential equations, J. 數(shù)學(xué) Anal. And Appl. Vol.192(3), 1995.?
44.(with B. Liu) Stability of a parabolic fixed 小數(shù)點(diǎn) of reversible mappings, Chin. Ann. of Math. (Series B), Vol. 15(2), 1994, 147-152.?
45.(with D. Qian) Periodic solutions of forced second order equations with the oscillatory 時(shí)間 map, Differential and Integral Equations,Vol. 6(4) 793-806, 1993.
46.Boundedness for solutions of superlinear Duffing's equations via the twist theorem, Science in China (series A), 35(4), 1992, 399-412.
47.Boundenness of solutions and quasiperiodic solutions of nonconservative Pendulum systems in a certain class, 漢語(yǔ)詞類 Bulletin of Science (Kexue Tongbao), 36(21), 1991, 1906-1909.?
48.Invariant tori and Lagrange stability of pendulum type equations, J. Differential Equations, 85(1), 1990, 54-65.。
獲得榮譽(yù)
曾獲得國(guó)家杰出青年基金、香港求是科技基金會(huì)杰出青年學(xué)者獎(jiǎng)、中國(guó)高校科技進(jìn)步獎(jiǎng)一等(排名第二)、第六屆江蘇省青年科技獎(jiǎng)、國(guó)家自然科學(xué)二等獎(jiǎng)(排名第三)。
2022年11月19日消息,南開(kāi)大學(xué)陳省身數(shù)學(xué)研究所教授尤建功因其對(duì)動(dòng)力系統(tǒng)的重要貢獻(xiàn),獲得2024年度發(fā)展中國(guó)家科學(xué)院院士(英文簡(jiǎn)稱TWAS)數(shù)學(xué)獎(jiǎng)。
2023年8月31日,入選2023年中國(guó)科學(xué)院院士增選有效候選人名單。
參考資料 >
尤建功教授應(yīng)邀參加第28屆國(guó)際數(shù)學(xué)家大會(huì)并作報(bào)告.陳省身數(shù)學(xué)研究所官網(wǎng).2019-01-24
中科院首次公開(kāi)院士推薦人姓名或推薦渠道_新聞?lì)l道_中華網(wǎng)._新聞?lì)l道_中華網(wǎng).2021-08-02
中國(guó)民主同盟第十二屆中央委員會(huì).中國(guó)民主同盟.2017-12-22
尤建功.南開(kāi)大學(xué)陳省身數(shù)學(xué)研究所.2021-12-08
祝賀!尤建功教授獲發(fā)展中國(guó)家科學(xué)院數(shù)學(xué)獎(jiǎng).今日頭條-南開(kāi)大學(xué).2022-11-19
關(guān)于公布2023年中國(guó)科學(xué)院院士增選有效候選人名單的公告.中國(guó)科學(xué)院.2023-09-01