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Bibliographic Details
Main Authors: Alves, Nuno J., Tzavaras, Athanasios E.
Format: Preprint
Published: 2020
Subjects:
Online Access:https://arxiv.org/abs/2012.14203
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Table of Contents:
  • 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.