Seokchang Hong (University of Muenster): A spinor-adapted energy method for nonlinear Dirac-type equations
Tuesday, 27.01.2026 10:00 im Raum SRZ 216/217
The analysis of Dirac-type equations introduces structural challenges, which are absent in wave or Klein?Gordon equations, due to their first-order, and spinorial nature.
In particular, the natural notion of energy for Dirac fields is derived from conserved currents rather than stress?energy tensors.
The main focus of this talk is a spinor-adapted geometric, current-based energy framework which treats Dirac equations directly, without reduction to wave equations. I explain why this shift becomes necessary in the presence of gauge coupling and discuss how Dirac currents, gauge-covariant vector field methods, and divergence identities naturally interact with the Maxwell field, which supplies decay through its own energy hierarchy.
I conclude with an overview of the current status of the Maxwell?Dirac system near Minkowski spacetime
Angelegt am 13.01.2026 von Anke Pietsch
Geändert am 15.01.2026 von Anke Pietsch
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