00:00:00 / 00:00:00

Homogenizations for Hamilton-Jacobi PDEs and Hamiltonian ODEs

By Fraydoun Rezakhanlou

Appears in collection : PDE/Probability Interactions: Particle Systems, Hyperbolic Conservation Laws / Interactions EDP/Probabilités : systèmes de particules, lois de conservation hyperboliques

Traditionally homogenization asks whether average behavior can be discerned from Hamilton-Jacobi equations that are subject to high-frequency fluctuations in spatial variables. A similar question can be asked for the associated Hamiltonian ODEs. When the Hamiltonian function is convex in momentum variable, these two questions turn out to be equivalent. This equivalence breaks down for general Hamiltonian functions. In this talk I will give a dynamical system formulation for homogenization and address some result concerning weak and strong homogenization phenomena.

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.19570503
  • Cite this video Rezakhanlou Fraydoun (10/17/19). Homogenizations for Hamilton-Jacobi PDEs and Hamiltonian ODEs. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19570503
  • URL https://dx.doi.org/10.24350/CIRM.V.19570503

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow


  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
  • Get notification updates
    for your favorite subjects
Give feedback