The Relaxation Limit of Bipolar Fluid Models

Nuno Januario Alves; Athanasios Tzavaras

The Relaxation Limit of Bipolar Fluid Models

Nuno Januario Alves, Athanasios Tzavaras

Research output: Contribution to journal › Article › peer-review

Abstract

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 note

KAUST 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

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https://repository.kaust.edu.sa/bitstream/10754/666735/5/at-bipolar-final.pdf

Cite this

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title = "The Relaxation Limit of Bipolar Fluid Models",

abstract = "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.",

author = "Alves, {Nuno Januario} and Athanasios Tzavaras",

note = "KAUST 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",

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day = "28",

language = "English (US)",

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T1 - The Relaxation Limit of Bipolar Fluid Models

AU - Alves, Nuno Januario

AU - Tzavaras, Athanasios

N1 - KAUST 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

PY - 2020/12/28

Y1 - 2020/12/28

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/666735

UR - https://arxiv.org/pdf/2012.14203

M3 - Article

JO - Accepted by Discrete and Continuous Dynamical Systems

JF - Accepted by Discrete and Continuous Dynamical Systems

ER -

The Relaxation Limit of Bipolar Fluid Models

Abstract

Bibliographical note

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