Nonlinear electron solutions and their characteristics at infinity
The Maxwell-Dirac equations model an electron in an electromagnetic field. The two equations are coupled via the Dirac current which acts as a source in the Maxwell equation, resulting in a nonlinear system of partial differential equations (PDE's). Well-behaved solutions, within reasonable Sobolev spaces, have been shown to exist globally as recently as 1997 . Exact solutions have not been found - except in some simple cases. We have shown analytically in [6,18] that any spherical solution...[Show more]
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