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

Alexandru D. Ionescu; Benoit Pausader

doi:10.4171/JEMS/489

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

Alexandru D. Ionescu, Benoit Pausader

Mathematics

Research output: Contribution to journal › Article › peer-review

53 Scopus citations

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.

Original language	English (US)
Pages (from-to)	2355-2431
Number of pages	77
Journal	Journal of the European Mathematical Society
Volume	16
Issue number	11
DOIs	https://doi.org/10.4171/JEMS/489
State	Published - 2014

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

Euler-Maxwell one-fluid system
Global stability and scattering
Quasilinear Klein-Gordon systems

Access to Document

10.4171/JEMS/489

Cite this

@article{57ff68718ea0486c892a791bec282c08,

title = "Global solutions of quasilinear systems of Klein-Gordon equations in 3D",

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.",

keywords = "Euler-Maxwell one-fluid system, Global stability and scattering, Quasilinear Klein-Gordon systems",

author = "Ionescu, {Alexandru D.} and Benoit Pausader",

note = "Publisher Copyright: {\textcopyright} European Mathematical Society 2014.",

year = "2014",

doi = "10.4171/JEMS/489",

language = "English (US)",

volume = "16",

pages = "2355--2431",

journal = "Journal of the European Mathematical Society",

issn = "1435-9855",

publisher = "European Mathematical Society Publishing House",

number = "11",

}

TY - JOUR

T1 - Global solutions of quasilinear systems of Klein-Gordon equations in 3D

AU - Ionescu, Alexandru D.

AU - Pausader, Benoit

N1 - Publisher Copyright: © European Mathematical Society 2014.

PY - 2014

Y1 - 2014

N2 - 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.

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.

KW - Euler-Maxwell one-fluid system

KW - Global stability and scattering

KW - Quasilinear Klein-Gordon systems

UR - http://www.scopus.com/inward/record.url?scp=84911124688&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84911124688&partnerID=8YFLogxK

U2 - 10.4171/JEMS/489

DO - 10.4171/JEMS/489

M3 - Article

AN - SCOPUS:84911124688

SN - 1435-9855

VL - 16

SP - 2355

EP - 2431

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 11

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this