Long-time behaviour of the solution of Maxwell's equations in dissipative generalized Lorentz materials. I: A frequency-dependent Lyapunov function approach
DOI10.1007/s00033-023-01989-9zbMath1525.35213arXiv2210.09360OpenAlexW4309389732MaRDI QIDQ6110115
Patrick Joly, Maxence Cassier, Luis Alejandro Rosas Martínez
Publication date: 4 July 2023
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.09360
Maxwell's equationsdissipative generalized Lorentz modelsfrequency-dependent Lyapunov estimateslong-time electromagnetic energy decay ratepassive electromagnetic media
PDEs in connection with optics and electromagnetic theory (35Q60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Stability of solutions to ordinary differential equations (34D20) Lasers, masers, optical bistability, nonlinear optics (78A60) Motion of charged particles (78A35) Initial value problems for first-order hyperbolic systems (35L45) Stability theory for smooth dynamical systems (37C75) Maxwell equations (35Q61)
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