This work establishes the relaxation limit from a bipolar Euler-Poisson system with friction towards a bipolar drift-diffusion system. A weak-strong formalism is developed and, within this framework, a dissipative weak solution of the bipolar Euler-Poisson system converges in the high-friction regime to a conservative, bounded away from vacuum, strong solution of the bipolar drift-diffusion system. This limiting process is based on a relative entropy identity for the bipolar fluid system.
|Original language||English (US)|
|Journal||Accepted by Discrete and Continuous Dynamical Systems|
|State||Published - Dec 28 2020|
Bibliographical noteKAUST Repository Item: Exported on 2021-06-22
Acknowledgements: The authors wish to express their gratitude 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 discuss