Journal article
Boltzmann to Landau from the gradient flow perspective
- Abstract:
- We revisit the grazing collision limit connecting the Boltzmann equation to the Landau(-Fokker-Planck) equation from their recent reinterpretations as gradient flows. Our results are in the same spirit as the $\Gamma$-convergence of gradient flows technique introduced by Sandier and Serfaty. In this setting, the grazing collision limit reduces to showing the lower semi-continuous convergence of the Boltzmann entropy-dissipation to the Landau entropy-dissipation.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
-
(Preview, Accepted manuscript, pdf, 652.2KB, Terms of use)
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- Publisher copy:
- 10.1016/j.na.2022.112824
Authors
- Publisher:
- Elsevier
- Journal:
- Nonlinear Analysis: Modelling and Control More from this journal
- Volume:
- 219
- Article number:
- 112824
- Publication date:
- 2022-02-23
- Acceptance date:
- 2022-02-01
- DOI:
- EISSN:
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2335-8963
- ISSN:
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1392-5113
- Language:
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English
- Keywords:
- Pubs id:
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1187771
- Local pid:
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pubs:1187771
- Deposit date:
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2022-02-12
Terms of use
- Copyright holder:
- Elsevier
- Copyright date:
- 2021
- Rights statement:
- © 2022 Published by Elsevier Ltd.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Elsevier at: https://doi.org/10.1016/j.na.2022.112824
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