University of California, Berkeley
Adjunct Professor of IPM, Iran
|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.
|13:00-15:00, every Saturdays, Jan. 1-15, 2005
|School of Mathematics, Niavaran Bldg., Niavaran Square, Tehran, Iran.