The relaxation limit of bipolar fluid models

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Type
Article
Authors
Alves, Nuno J. cc
Tzavaras, Athanasios cc
KAUST Department
Applied Mathematics and Computational Science Program
Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
Date
2021
Preprint Posting Date
2020-12-28
Embargo End Date
2022-12-13
Permanent link to this record
http://hdl.handle.net/10754/666735

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Abstract
This work establishes the relaxation limit from the bipolar Euler- Poisson system to the bipolar drift-diffusion system, for data so that the latter has a smooth solution. A relative energy identity is developed for the bipolar uid models, and it is used to show that a dissipative weak solution of the bipolar Euler-Poisson system converges in the high-friction regime to a strong and bounded away from vacuum solution of the bipolar drift-diffusion system.
Citation
Alves, N. J., & Tzavaras, A. E. (2021). The relaxation limit of bipolar fluid models. Discrete & Continuous Dynamical Systems, 0(0), 0. doi:10.3934/dcds.2021113
Sponsors
The authors wish to express their graditude to the anonymous referee for the suggestions that undoubtedly helped to improve the quality of the manuscript. The first author would also like to thank Rogerio Jorge and Xiaokai Huo for helpful discussions.
Publisher
American Institute of Mathematical Sciences (AIMS)
Journal
Discrete & Continuous Dynamical Systems
DOI
10.3934/dcds.2021113
arXiv
2012.14203
Additional Links
https://www.aimsciences.org/article/doi/10.3934/dcds.2021113
Collections
Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

Version History

VersionItemEditorDateSummary
210754/666735*Daryl Grenz2021-06-21T06:29:49ZAccepted by journal.
110754/666735.1Nuno Januario Alves2020-12-29T05:47:54Z

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