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The relaxation limit of bipolar fluid models
- Source :
- Discrete and Continuous Dynamical Systems, 42(1), 211-237 (2022)
- Publication Year :
- 2020
-
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.
- Subjects :
- Mathematics - Analysis of PDEs
Subjects
Details
- Database :
- arXiv
- Journal :
- Discrete and Continuous Dynamical Systems, 42(1), 211-237 (2022)
- Publication Type :
- Report
- Accession number :
- edsarx.2012.14203
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.3934/dcds.2021113