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The global convergence of non-isentropic Euler–Maxwell equations via Infinity-Ion-Mass limit.
- Source :
-
Zeitschrift für Angewandte Mathematik und Physik (ZAMP) . Feb2021, Vol. 72 Issue 1, p1-13. 13p. - Publication Year :
- 2021
-
Abstract
- This paper is concerned with the periodic problem to the two-fluid non-isentropic Euler–Maxwell (N-E-M) equations. The equations arises in the modeling of magnetic plasma, in which appear two physical parameters, the mass of an electron m e and the mass of an ion m i . With the help of methods of asymptotic expansions, we prove the local-in-time convergence of smooth solutions to this problem by setting m e = 1 and letting m i → + ∞ . Moreover, when the initial data are near constant equilibrium states, by means of uniform energy estimates and compactness arguments, we rigorously prove the infinity-ion-mass convergence of the system for all time. The limit system is the one-fluid N-E-M system. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00442275
- Volume :
- 72
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
- Publication Type :
- Academic Journal
- Accession number :
- 148060723
- Full Text :
- https://doi.org/10.1007/s00033-020-01459-6