Convergence to Equilibrium in Wasserstein Distance for Damped Euler Equations with Interaction Forces

José A. Carrillo, Young Pil Choi, Oliver Tse

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)329-361
Number of pages33
JournalCommunications in Mathematical Physics
Volume365
Issue number1
DOIs
Publication statusPublished - 2019 Jan 24

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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