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

Carrillo, Jose A.; Choi, Young-Pil; Tse, Oliver

doi:10.1007/s00220-018-3276-8

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

Carrillo, Jose A.;
Choi, Young-Pil;
Tse, Oliver

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23

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SCOPUS

25

초록

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.

키워드

NONLINEAR DIFFUSION WAVES; STRONG RELAXATION LIMIT; GLOBAL BV SOLUTIONS; ASYMPTOTIC-BEHAVIOR; CONSERVATION-LAWS; P-SYSTEM; PARTICLE; AGGREGATION; EXISTENCE; ENTROPY

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

저자: Carrillo, Jose A.; Choi, Young-Pil; Tse, Oliver

DOI: 10.1007/s00220-018-3276-8

발행일: 2019-01

유형: Article

저널명: Communications in Mathematical Physics

권: 365

호: 1

페이지: 329 ~ 361