The nonlinear stability of the trivial solution to the Maxwell-Born-Infeld system
Author(s)Speck, Jared R.
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Journal of Mathematical Physics
American Institute of Physics (AIP)
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
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