UM Math Graduate Student Seminar

Jorge Cardona
University of Miami

will present

Hamiltonian Dynamics and PDEs

Friday, November 13, 2015, 5:00pm
Ungar Building Room 402


Abstract: 

Abstract: In this talk we will discuss some classical aspects of Hamiltonian dynamics on finite dimensional spaces as invariant measures, Liouville's theorem and the Poincare recurrence theorem. We will consider the linear Schrödinger equation, as an infinite dimensional dynamical system, to see how the previous ideas can be applied in that case. If time allows we will discuss some non-linear cases too.

 


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