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The rigorous derivation of unipolar Euler–Maxwell system for electrons from bipolar Euler–Maxwell system by infinity‐ion‐mass limit
- Source :
- Mathematical Methods in the Applied Sciences. 44:3418-3440
- Publication Year :
- 2020
- Publisher :
- Wiley, 2020.
-
Abstract
- In the paper, we consider the local-in-time and the global-in-time infinity-ion-mass convergence of bipolar Euler-Maxwell systems by setting the mass of an electron me=1 and letting the mass of an ion mi→∞. We use the method of asymptotic expansions to handle the local-in-time convergence problem and find that the limiting process from bipolar models to unipolar models is actually decoupling, but not the vanishing of equations for the corresponding the other particle. Moreover, when the initial data is sufficiently close to the constant equilibrium state, we establish the global-in-time infinity-ion-mass convergence.
- Subjects :
- Thermodynamic equilibrium
General Mathematics
010102 general mathematics
Mathematical analysis
General Engineering
Electron
Decoupling (cosmology)
01 natural sciences
Local convergence
010101 applied mathematics
symbols.namesake
Convergence (routing)
Euler's formula
symbols
Convergence problem
0101 mathematics
Constant (mathematics)
Mathematics
Subjects
Details
- ISSN :
- 10991476 and 01704214
- Volume :
- 44
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........6fda5a03bc6cc467cc11fc643f4c7e7d