The nonlinear stability of the trivial solution to the Maxwell-Born-Infeld system
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In this article, we use an electromagnetic gauge-free framework to establish the existence of small-data global solutions to the Maxwell-Born-Infeld (MBI) system on the Minkowski spacetime background in 1+3 dimensions. Because the nonlinearities in the system have a special null structure, we are also able to show that these solutions decay at least as fast as solutions to the linear Maxwell-Maxwell system. In addition, we show that on any Lorentzian manifold, the MBI system is hyperbolic in the interior of the field-strength regime in which its Lagrangian is real-valued.
Date issued
2012-08Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Journal of Mathematical Physics
Publisher
American Institute of Physics (AIP)
Citation
Speck, Jared. “The nonlinear stability of the trivial solution to the Maxwell-Born-Infeld system.” Journal of Mathematical Physics 53, no. 8 (2012): 083703. © 2012 American Institute of Physics
Version: Final published version
ISSN
00222488