Global existence and long-time behavior of smooth solutions of two-fluid Euler–Maxwell equations
Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012) no. 5, pp. 737-759.

We consider Cauchy problems and periodic problems for two-fluid compressible Euler–Maxwell equations arising in the modeling of magnetized plasmas. These equations are symmetrizable hyperbolic in the sense of Friedrichs but donʼt satisfy the so-called Kawashima stability condition. For both problems, we prove the global existence and long-time behavior of smooth solutions near a given constant equilibrium state. As a byproduct, we obtain similar results for two-fluid compressible Euler–Poisson equations.

DOI : https://doi.org/10.1016/j.anihpc.2012.04.002
Classification : 35L45,  35L60,  35Q60
Mots clés : Two-fluid flows, Euler–Maxwell equations, Partially dissipative hyperbolic systems, Global smooth solutions, Long-time behavior, Energy estimates
@article{AIHPC_2012__29_5_737_0,
author = {Peng, Yue-Jun},
title = {Global existence and long-time behavior of smooth solutions of two-fluid Euler--Maxwell equations},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {737--759},
publisher = {Elsevier},
volume = {29},
number = {5},
year = {2012},
doi = {10.1016/j.anihpc.2012.04.002},
zbl = {1251.35159},
mrnumber = {2971029},
language = {en},
url = {http://archive.numdam.org/item/AIHPC_2012__29_5_737_0/}
}
Peng, Yue-Jun. Global existence and long-time behavior of smooth solutions of two-fluid Euler–Maxwell equations. Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012) no. 5, pp. 737-759. doi : 10.1016/j.anihpc.2012.04.002. http://archive.numdam.org/item/AIHPC_2012__29_5_737_0/

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