Global solutions of quasilinear systems of Klein–Gordon equations in 3D

Alexandru D. Ionescu; Benoît Pausader

Journal of the European Mathematical Society (2014)

  • Volume: 016, Issue: 11, page 2355-2431
  • ISSN: 1435-9855

Abstract

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We prove small data global existence and scattering for quasilinear systems of Klein-Gordon equations with different speeds, in dimension three. As an application, we obtain a robust global stability result for the Euler-Maxwell equations for electrons.

How to cite

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Ionescu, Alexandru D., and Pausader, Benoît. "Global solutions of quasilinear systems of Klein–Gordon equations in 3D." Journal of the European Mathematical Society 016.11 (2014): 2355-2431. <http://eudml.org/doc/277454>.

@article{Ionescu2014,
abstract = {We prove small data global existence and scattering for quasilinear systems of Klein-Gordon equations with different speeds, in dimension three. As an application, we obtain a robust global stability result for the Euler-Maxwell equations for electrons.},
author = {Ionescu, Alexandru D., Pausader, Benoît},
journal = {Journal of the European Mathematical Society},
keywords = {quasilinear Klein–Gordon systems; global stability and scattering; Euler–Maxwell one-fluid system; small data global existence; equations with different speeds; global stability and scattering; Euler-Maxwell one-fluid system; small data global existence; equations with different speeds},
language = {eng},
number = {11},
pages = {2355-2431},
publisher = {European Mathematical Society Publishing House},
title = {Global solutions of quasilinear systems of Klein–Gordon equations in 3D},
url = {http://eudml.org/doc/277454},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Ionescu, Alexandru D.
AU - Pausader, Benoît
TI - Global solutions of quasilinear systems of Klein–Gordon equations in 3D
JO - Journal of the European Mathematical Society
PY - 2014
PB - European Mathematical Society Publishing House
VL - 016
IS - 11
SP - 2355
EP - 2431
AB - We prove small data global existence and scattering for quasilinear systems of Klein-Gordon equations with different speeds, in dimension three. As an application, we obtain a robust global stability result for the Euler-Maxwell equations for electrons.
LA - eng
KW - quasilinear Klein–Gordon systems; global stability and scattering; Euler–Maxwell one-fluid system; small data global existence; equations with different speeds; global stability and scattering; Euler-Maxwell one-fluid system; small data global existence; equations with different speeds
UR - http://eudml.org/doc/277454
ER -

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