陳國璋 - 台湾清华大学

个人简介

學歷美國明尼蘇達大學,數學系,博士經歷國立清華大學, 數學系, 教授 2009/08 - 國立清華大學, 數學系, 副教授 2006/08 - 2009/07, 國立清華大學, 數學系, 助理教授 2004/08 - 2006/07 指導學生 2006年碩士班謝昆宏 2007年碩士班李建明, 陳乃嘉, 蕭俊賢 2009年碩士班呂俊賢, 顏欣頡, 潘柏宇

研究领域

動態系統, 天體力學, 變分法

近期论文

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研討會論文 1. The action-minimizing problem with free boundaries for the n-body problem. Proceedings of the International Congress of Chinese Mathematicians, Vol III, 269-282, 2007. 2. Collision-free equivariant minimizers for the n-body problem without equal-mass constraint. Proceedings of the 13th Workshop on Differential Equations, Chiayi, 165-178, 2005. 3. What can calculus of variations do for the N-body problem? Proceedings of the 12th Workshop on Differential Equations, Hsinchu, 27-38, 2004. 期刊論文 1. On the barycenter of the tent map (with Xun Dong). Proc. Amer. Math. Soc., to appear. 2. Variational constructions for some satellite orbits in periodic gravitational force fields. Amer. J. Math., 132, 681-709 (2010). 3. On action-minimizing retrograde and prograde orbits of the three-body problem (with Y.-C.Lin), Comm. Math. Phys., 291, 403-441 (2009). 4. Existence and minimizing properties of retrograde orbits to the three-body problem with various choices of masses. Annals of Math. 167, 325-348 (2008). 5. Removing collision singularities from action minimizers for the n-body problem with free boundaries. Arch. Rational Mech. Anal. 181, 311-331 (2006). 6. Binary decompositions for planar N-body problems and symmetric periodic solutions. Arch. Rational Mech. Anal. 170, 247-276 (2003). 7. Variational methods on periodic and quasi-periodic solutions for the N-body problem. Ergodic Theory & Dynam. Systems 23 (2003), 1691-1715. 8. Action-minimizing orbits in the parallelogram four-body problem with equal masses. Arch. Rational Mech. Anal. 158, 293-318 (2001). 9. On Chenciner-Montgomery,s orbit in the three-body problem. Discrete Contin. Dynam. Systems 7, 85-90 (2001). 10. Symmetry of positive solutions of semilinear elliptic equations in infinite strip domains (with K.J. Chen, H.C. Wang). J. Differential Equations 148, 1-8 (1998).