Author
Carrillo de la Plata, J
Choi, Y
Tse, O
Journal title
Communications in Mathematical Physics
DOI
10.1007/s00220-018-3276-8
Volume
365
Last updated
2022-07-06T12:48:02.09+01:00
Page
329-361
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.
Symplectic ID
1098232
Favourite
On
Publication type
Journal Article
Publication date
04 Oct 2018
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