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Some insights from total collapse in the N-body problem(辛晏琏)
时间:2010.3.11 下午4:30
地点:16-308
主讲:辛晏琏
摘要:
We discuss the Sundman–Weierstrass theorem of total collapse in its historical context. This
remarkable and relatively simple result, a type of stability criterion, is at the crossroads of some
interesting developments in the gravitational N-body problem.We use it as motivation to explore the
connections to such important concepts as integrability, singularities, and typicality in order to gain
insight into the transition from a predominantly quantitative to a novel qualitative approach to
dynamical problems that took place at the end of the 19th century.
文献:S. B. Volchana, Am. J. Phys. 76, 11, November 2008
(说明:这是一个经典力学的题目,低年级本科生就可以讲,不妨试试。)
讲稿
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