KAUST DepartmentApplied Mathematics and Computational Science Program
Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
Preprint Posting Date2020-12-28
Embargo End Date2022-12-13
Permanent link to this recordhttp://hdl.handle.net/10754/666735
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AbstractThis 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.
CitationAlves, 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
SponsorsThe 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.