Well-posedness of the Maxwell equations with nonlinear Ohm law

Well-posedness of the Maxwell equations with nonlinear Ohm law

This paper is concerned with weak solutions (e,h) in L^2 x L^2 of the Maxwell equations with nonlinear Ohm law and under perfect conductor boundary conditions. These solutions are defined in terms of integral identities with appropriate test functions. The main result of our paper is an energy equal...

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Veröffentlicht in:arXiv.org 2022-08
Hauptverfasser: Griepentrog, Jens A, Naumann, Joachim
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Conductors
Identities
Mathematical analysis
Maxwell's equations
Ohm's Law
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Zusammenfassung:This paper is concerned with weak solutions (e,h) in L^2 x L^2 of the Maxwell equations with nonlinear Ohm law and under perfect conductor boundary conditions. These solutions are defined in terms of integral identities with appropriate test functions. The main result of our paper is an energy equality that holds for any weak solution (e,h).
ISSN:2331-8422