The relaxation limit of bipolar fluid models Article Swipe
Related Concepts
Dissipative system
Bounded function
Euler's formula
Limiting
Isolated system
Physics
Poisson distribution
Limit (mathematics)
Statistical physics
Mathematics
Mechanics
Mathematical analysis
Thermodynamics
Engineering
Statistics
Mechanical engineering
Nuno Januario Alves
,
Athanasios E. Tzavaras
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3934/dcds.2021113
· OA: W3116859993
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3934/dcds.2021113
· OA: W3116859993
<p style='text-indent:20px;'>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 models, and it 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.</p>
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