The Relaxation Limit of Bipolar Fluid Models

Nuno Januario Alves, Athanasios Tzavaras

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
JournalAccepted by Discrete and Continuous Dynamical Systems
StatePublished - Dec 28 2020


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