“Bulletin Board”

 School of Mathematics - December 28, 2004

A Short Course on
Strong and Weak KAM Theory for Hamiltonian Systems

Fraydoun Rezakhanlou,
University of California, Berkeley
and
Adjunct Professor of IPM, Iran

 
 
Fraydoun Rezakhanlou,
University of California, Berkeley
and
Adjunct Professor of IPM, Iran
Abstract
Many problems in classical mechanics are formulated as Hamiltonian systems. For example the trajectories of planets in the phase space solve the Newton's equation and this can be written as a Hamiltonian system. In the completely integrable cases, the trajectories lie on the so-called invariant tori. The celebrated Kolmogovov-Arnold-Moser(KAM) theory asserts that some of these invariant tori survive under small perturbations. The weak KAM theory provides us with a substitute for these invariant tori in the case of large perturbations. This is closely related to the work of Aubery-Mather on the twist maps and the existence of generalized solutions to Hamilton-Jacobi PDEs.


Information
Time:13:00-15:00, every Saturdays, Jan. 1-15, 2005
Place:School of Mathematics, Niavaran Bldg., Niavaran Square, Tehran, Iran.


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