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

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.
Publication status:
Published

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Publisher copy:
10.1007/s00220-018-3276-8

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Springer
Journal:
Communications in Mathematical Physics More from this journal
Volume:
365
Pages:
329-361
Publication date:
2018-10-04
Acceptance date:
2018-08-29
DOI:
EISSN:
1432-0916
ISSN:
0010-3616
Language:
English
Keywords:
Pubs id:
1098232
Local pid:
pubs:1098232
Deposit date:
2020-04-07

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