Well-posedness of the Maxwell equations with nonlinear Ohm law

Jens A. Griepentrog; Joachim Naumann

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arXiv · 2208.03019

Well-posedness of the Maxwell equations with nonlinear Ohm law

Jens A. Griepentrog·Joachim Naumann

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Abstract

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).

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Jens A. Griepentrog, Joachim Naumann. 2022-08-05. Well-posedness of the Maxwell equations with nonlinear Ohm law. https://arxiv.org/abs/2208.03019

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