
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 socalled invariant tori. The celebrated KolmogovovArnoldMoser(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 AuberyMather on the twist maps and the existence of generalized solutions to HamiltonJacobi PDEs.

Information 
Time:  13:0015:00, every Saturdays, Jan. 115, 2005 

Place:  School of Mathematics, Niavaran Bldg., Niavaran Square, Tehran, Iran. 

See photos 
 
