Convergence to equilibrium in Wasserstein distance for damped Euler equations with interaction forces

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Title: Convergence to equilibrium in Wasserstein distance for damped Euler equations with interaction forces
Authors: Carrillo de la Plata, J
Choi, Y-P
Tse, O
Item Type: Journal Article
Abstract: We develop tools to construct Lyapunov functionals on the space of probability measures in order to investigate the convergence to global equilibrium of a damped Euler system under the influence of external and interaction potential forces with respect to the 2-Wasserstein distance. We also discuss the overdamped limit to a nonlocal equation used in the modelling of granular media with respect to the 2-Wasserstein distance, and provide rigorous proofs for particular examples in one spatial dimension.
Issue Date: 4-Oct-2018
Date of Acceptance: 29-Aug-2018
ISSN: 0010-3616
Publisher: Springer Verlag
Start Page: 1
End Page: 33
Journal / Book Title: Communications in Mathematical Physics
Copyright Statement: © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/P031587/1
Keywords: 0105 Mathematical Physics
0206 Quantum Physics
0101 Pure Mathematics
Mathematical Physics
Publication Status: Published online
Online Publication Date: 2018-10-04
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences

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