The hyperbolic Ernst--Maxwell equations in a triangular domain

The hyperbolic Ernst--Maxwell equations in a triangular domain

In a recent paper, we applied Riemann--Hilbert techniques to analyze the Goursat problem for the hyperbolic Ernst equation, which describes the interaction of two colliding gravitational plane waves. Here we generalize this approach to colliding electromagnetic plane waves in Einstein--Maxwell theor...

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Veröffentlicht in:arXiv.org 2019-10
1. Verfasser: Mauersberger, Julian
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Analysis of PDEs
Maxwell's equations
Plane waves
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Beschreibung
Zusammenfassung:In a recent paper, we applied Riemann--Hilbert techniques to analyze the Goursat problem for the hyperbolic Ernst equation, which describes the interaction of two colliding gravitational plane waves. Here we generalize this approach to colliding electromagnetic plane waves in Einstein--Maxwell theory.
ISSN:2331-8422
DOI:10.48550/arxiv.1811.10473