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at-bipolar-final.pdf
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2022-12-13
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ArticleAuthors
Alves, Nuno J.
Tzavaras, Athanasios

KAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Science and Engineering (CEMSE) Division
Date
2021Preprint Posting Date
2020-12-28Embargo End Date
2022-12-13Permanent link to this record
http://hdl.handle.net/10754/666735
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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.2021113Sponsors
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.arXiv
2012.14203Additional Links
https://www.aimsciences.org/article/doi/10.3934/dcds.2021113ae974a485f413a2113503eed53cd6c53
10.3934/dcds.2021113