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Introduction to weak KAM theory I

Introductory Workshop: Hamiltonian systems, from topology to applications through analysis August 20, 2018 - August 24, 2018

August 20, 2018 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Marie-Claude Arnaud (Université d'Avignon)
Location: MSRI: Simons Auditorium
  • Hamiltonian dynamics

  • Lagrangian dynamics

  • weak KAM

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification



Using a very simple example, we will introduce Lagrangian Dynamics and make the link with Hamiltonian Dynamics. We will explain the connection between Euler-Lagrange equations and the Lagrangian variational approach. This will be the way to introduce famous weak KAM theory. We will finish by the relation with Hamilton-Jacobi equation and the viscosity solutions.

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