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Introductory Workshop: Hamiltonian Systems, From Topology To Applications Through Analysis - Introduction to weak KAM theory I

Presenter
August 20, 2018
SLMath
Keywords:
  • Hamiltonian dynamics
  • Lagrangian dynamics
  • weak KAM
MSC:
  • 37J50
  • 70H20
  • 70S05
Introductory Workshop: Hamiltonian Systems, From Topology To Applications Through Analysis - Introduction to weak KAM theory I Thumbnail
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Abstract
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.
Abstract