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arXiv · 2012.14203

The relaxation limit of bipolar fluid models

Nuno J. Alves·Athanasios E. Tzavaras
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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 fluid system and 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.

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Nuno J. Alves, Athanasios E. Tzavaras. 2020-12-28. The relaxation limit of bipolar fluid models. https://doi.org/10.3934/dcds.2021113

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