报告时间：5月7日（星期五）下午3：00
地点：集贤楼412
题目：Central Configurations of the N-body Problem and Spacecraft Orbit Design
报告人：谢之福（美国弗吉尼亚州立大学数学与计算机科学系副教授）
摘要: The motion of a celestial body is described by a system of second order differential equations and is called the n-body problem. A central configuration is an arrangement of the initial positions of masses that leads to special families of solutions of the n-body problem. The study of central configurations is particularly useful for designing spacecraft trajectory and finding methods of exploring space with low energy consumption. This talk will present some new results of central configurations and an open question which can be investigated by interested undergraduate students or graduate students. Animations and mathematical concepts of Inter Planetary Superhighway will also be presented.
个人简介：
谢之福
教育背景:
2006年美国杨伯翰大学（Brigham Young University）, 获数学博士学位
2001年重庆大学理学院，获理学硕士学位
1998年best365体育官网登录入口数学与计算机科学系，获理学学士学位
工作经历:
2011.8-：美国弗吉尼亚州立大学 (Virginia State University) 数学与计算机科学系，副教授 (Associate Professor)
2007.8-2011.8：美国弗吉尼亚州立大学 (Virginia State University) 数学与计算机科学系，助理教授 (Assistant Professor)
2006.8-2007.8：美国威廉玛丽学院（College of William and Mary）数学系，
访问助理教授 (Visiting Assistant Professor)
主要研究兴趣:
动力系统，天体力学， N-体问题, 中心构型
非线性椭圆偏微分方程
生物数学
科研基金项目：
1. Simons Foundation: Collaboration Grants for Mathematicians, 09/01/2013- 08/31/2018.
2. Summer Research Fund from Virginia State University, Summer 2012 and 2013.
3. Super Central Configurations of the n-body Problem with the General Homogenous Potential. 美国国家自然科学基金及杨伯翰大学本科生数学研究联合资助项目，2010-2011
4. Celestial Mechanics and the Newtonian N-body Problem. 美国国家自然科学基金及杨伯翰大学本科生数学研究联合资助项目，2009-2010
5. Stability of Periodic Solutions and Central Configurations in the n-body problem.弗吉尼亚州立大学科学研究基金，2008-2009
获奖情况：
1. 被弗吉尼亚州立大学提名为2011-2012度 SCHEV杰出教师奖, 并被弗吉尼亚州高等教育委员会评为“2012 Outstanding Faculty Award Finalist”.
2. 被弗吉尼亚州立大学提名为弗吉尼亚州2010-2011度 SCHEV杰出教师奖（该奖为弗吉尼亚州高校教师最高荣誉奖，颁给在教学，科研，和社会服务三方面同时作出杰出成就者）
3. 两次获得杨伯翰大学优秀论文报告奖，2005，2006
4. 两次获得杨伯翰大学优秀研究奖，2003， 2005
5. 杨伯翰大学优秀助教奖，2004
Membership of National Organization:
Member of American Mathematical Society (AMS)
Member of National Defense Industrial Association (NDIA)
Member of National Modeling and Simulation Coalition (NMSC)
Committee member of NMSC's standing committee on Education and Professional Development
学术服务：
会议组织者：第10届 AIMS动力系统微分方程及应用会议 “中心构型，周期解，变分法及其它”, Madrid, Spain,July 07 - July 11, 2014.
会议组织者：美国数学学会(AMS&MAA)2013年会，“天体力学”, San Diego, California, January 9-13, 2013
会议组织者：美国数学学会(AMS)东南部2010年秋季会议分会“微分方程及其在物理和生物数学中的应用”, Richmond, VA, Nov. 6-7, 2010
会议组织者：美国数学协会(MAA) VA-DC-MA 地区2010年春季会议，Virginia State University, VA, April 16-17, 2010
美国数学评论(Mathematical Reviews)评论员
西班牙巴塞罗那数学研究中心数学研究项目特邀外部评审员
国际数学期刊评审员：被三十多国际数学期刊邀请评审文章，包括：Science in China, Series A: Mathematics，Journal of Differential Equations，Chaos: An interdisciplinary Journal of Nonlinear Science，Bulletin of the Belgian Mathematical Society， Journal of the Egyptian Mathematical Society。
近五年发表的论文（*代表指导的本科生）：
1. Zhifu Xie ，An Analytical Proof on Certain Determinants Connected with the Collinear Central Configurations in the $n$-body Problem. Celestial Mechanics and Dynamical Astronomy, 118 (2014), no. 1, 89–-97.
2. Zhifu Xie ，Isosceles Trapezoid Central Configurations of the Newtonian Four-body Problem. Proceedings of the Royal Society of Edinburgh,142A (2012), 665–-672.
3. Tiancheng Ouyang, Zhifu Xie ，Number of Central Configurations and Singular Surfaces in Mass Space in the Collinear Four-body Problem. Transactions of the American Mathematical Society, 364 (2012), 2909-2932.
4. Zhifu Xie ，Cross-diffusion induced Turing instability for a three species food chain model. Journal of Mathematical Analysis and Applications, 388 (2012), 539-547.
5. Zhifu Xie, Chunshan Zhao ，Blow-up Rate and Uniqueness of Singular Radial Solutions for a Class of Quasi-Linear Elliptic Equations. Journal of Differential Equations, 252 (2012) 1776-1788.
6. Zhifu Xie, Kenyaita Hodge*, Michael Westbrook*, Krystolyn Henderson* ，Super Central Configurations of the Three-body Problem under the Inverse Integer Power Law. Journal of Mathematical Physics 52 (2011) 092901.
7. Zhifu Xie ，Central Configurations of the Collinear Three-body Problem and Singular Surfaces in the Mass Space. Physics Letters A, 375 (2011) 3392–3398.
8. Zhifu Xie ，The Golden Ratio and Super Central Configurations of the n-body Problem. Journal of Differential Equations, 251 (2011) 58–72.
9. Zhifu Xie ，Turing instability in a coupled predator-prey model with different Holling type functional responses. Discrete and Continuous Dynamical System, Series S, 4 (2011) pp 1621-1628.
10. Junping Shi, Zhifu Xie, Kristina Little ，Cross-diffusion induced instability and stability in reaction-diffusion systems. Journal of Applied Analysis and Computation, Vol. 1, No. 1 (2011) pp 95-119.
11. Zhifu Xie ，Inverse Problem of Central Configurations and Singular Curve in the Collinear 4-Body Problem. Celestial Mechanics and Dynamical Astronomy, 107, (2010) pp 353-376.
12. Zhifu Xie ，Super Central Configurations of the n-body Problem. Journal of Mathematical Physics, 51, (2010) 042902
13. Junping Shi, Zhifu Xie ，Classification of four-body central configurations with three equal masses. Journal of Mathematical Analysis and Applications, 363 (2010), pp 512--524.
14. Zhifu Xie ，Uniqueness and blow-up rate of large solutions for elliptic equation . Journal of Differential Equations, 247 (2009), pp344-363.
15. Mervin Woodlin*, Zhifu Xie ，Collinear Central Configurations in the n-body Problem with General Homogeneous Potential. Journal of Mathematical Physics, 50 (2009), 102901.
16. Tiancheng Ouyang, Zhifu Xie ，Regularization of Simultaneous Binary Collisions and Periodic Solution with Singularity in the Collinear Four-Body Problem.
Discrete and Continuous Dynamical System, Series A, Vol 24 (2009) pp909-932.
近五年被邀请的学术报告：
1. A new variational method with SPBC and periodic solutions of the Newtonian N-body problem, Math Colloquium, College of William and Mary, Williamsburg, VA, Oct. 25, 2013.
2. A new variational method with SPBC and many stable choreographic solutions of the Newtonian 4-body problem. THE THIRD COLLOQUIUM ON DYNAMICAL SYSTEMS CONTROL AND APPLICATIONS--DySCA III, Mexico City, Mexico, June 21-24, 2013.
3. Linear Stability of the periodic solution in the spatial isosceles three-body problem, AMS Special Session on Celestial Mechanics, Joint Mathematics Meetings, San Diego, CA, January 9-12, 2013.
4. Talk one: Blow-up Rate and Uniqueness of Singular Radial Solutions for a Class of Quasi-Linear Elliptic Equations.
Talk Two: Turing instability in a three species food chain model. 9th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Special Session 18 and 55, Hyatt Grand Cypress Resort, Florida , July 1-5, 2012.
5. Planet Dancing with Two Stars, Central Configurations and Spacecraft Orbits Design. Colloquium Talk, Virginia State University, April 12, 2012.
6. Broken chain induced Turing instability in a food chain model. 2012 AMS Spring Eastern Sectional Meeting, George Washington University, Washington, DC March 17-18, 2012.
7. On Central Configurations of the N-body Problem and its Applications, Colloquium Talk, Nankai University, Tianjin, China, Dec. 20, 2011.
8. Central Configurations and its Applications in Spacecraft Orbits Mission Design, Colloquium Talk, Sichuan University, Chengdu, China, Dec. 13, 2011.
9. Golden Ratio and Central Configurations of the N-body Problem, 2011 AMS Sectional Meeting at Special session on Geometric Celestial Mechanics, Salt Lake City, Utah, Oct. 22-23, 2011
10. Central Configurations of the N-body problem, 2011 IMA New Directions Short Course: Invariant Objects in Dynamical Systems and their Applications, June 19-July 1, 2011
11. Number of Collinear Central Configurations, Special session on celestial mechanics, 2011 Spring Eastern Sectional Meeting Worcester, MA, April 9-10, 2011
12. Number of Central Configurations under Geometric Equivalence, Colloquium Talk, Brigham Young University, Provo, Utah, March 17, 2011.
13. Number of Central Configurations in Celestial Mechanics, Colloquium Talk, George Washington University, Washington D.C, February 17, 2011.
14. Cross-diffusion induced Turing instability for a three species food chain model, AMS Special Session on Analysis of Reaction-Diffusion Models, II, Joint Mathematics Meetings, New Orleans, LA, January 6-9, 2011
15. Number of Central Configurations in the Collinear Four-body Problem, Special Session on Differential Equations and Applications to Physics and Biology, 2010 Fall Southeastern Section Meeting Richmond, VA, November 6-7, 2010
16. Super Central Configurations and Geometrical Equivalence Classes, The Fourth International Conference on Recent Advances in Applied Dynamical Systems, Zhejiang Normal University, Jinhua, China, from June 16th to June 20th of 2010.
17. Moulton's Theorem on Central Configurations in 1910 and Some Open Problems, Colloquium Talk, Sichuan University, Chengdu, China, June 3-9, 2010.
18. On Central Configurations and Some Open Problems, Colloquium Talk, Chongqing Normal University, China, June 1, 2010.
19. The Extension of Moulton's Theorem on Central Configurations in 1910, Colloquium Talk, Capital Normal University, Beijing, China, May 25, 2010.
20. Central Configurations and Moulton's Theorem in 1910, Colloquium/CSUMS Lecture, College of William and Mary, Williamsburg, VA, Nov. 6, 2009.
