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Documents  Rezakhanlou, Fraydoun | enregistrements trouvés : 2

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- 105 p.
ISBN 978-3-540-73704-9

Lecture notes in mathematics , 1916

Localisation : Collection 1er étage

mécanique des fluides # structure anatomique # structure moléculaire # théorie cinétique du gaz # théorie de l'information # mécanique statistique # processus aléatoire # système de particule en intéraction aléatoire

76-02 ; 76P05 ; 82B40 ; 94A15 ; 60K35 ; 82C22

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Research talks;Dynamical Systems and Ordinary Differential Equations;Partial Differential Equations;Probability and Statistics

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. 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 ...

35F21 ; 35B27 ; 60G10

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