Title	Some problems in hyperbolic hydrodynamic limits: random masses and non-linear wave equation with boundary tension
Creator	Olla, Stefano
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-08-05T11:05
Description	I will illustrate some recent results about hydrodynamic limit in Euler scaling for one dimensional chain of oscillators: - in the harmonic case with random masses, Anderson localization allows to obtain Euler equation in the hyperbolic scaling limit, while temperature profile does not evolve in any time scale (with F. Huveneers and C. Bernardin). - If the chain is in contact with a Langevin heat bath conserving momentum and volume (isothermal evolution), we prove convergence to $L^2$-valued weak entropic thermodynamic solutions of the non-linear wave equation, even in presence of boundary tension. (with S. Marchesani).
Extent	43.0 minutes
Subject	Mathematics; Probability theory and stochastic processes; Mechanics of particles and systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Université Paris Dauphine, PSL Research University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-02-02
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0388517
URI	http://hdl.handle.net/2429/73453
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Some problems in hyperbolic hydrodynamic limits: random masses and non-linear wave equation with boundary tension Olla, Stefano

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