Asymptotic behavior of the Maxwell equations in cylinders becoming unbounded in one direction

DOI10.1016/j.jmaa.2020.124437zbMath1462.35382OpenAlexW3044429177MaRDI QIDQ2657695

Zengyun Qin

Publication date: 14 March 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124437

zbMATH Keywords

Maxwell equationsconvergence ratecylinderthe Galerkin methodgeneral Poincaré inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Electromagnetic theory (general) (78A25) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Maxwell equations (35Q61)

Cites Work

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• Asymptotic behaviour of the Stokes problem in cylinders becoming unbounded in one direction
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• A compactness result for vector fields with divergence and curl in L^q(ω) involving mixed boundary conditions
• Finite Element Methods for Maxwell's Equations
• On the asymptotic behaviour of the solution of parabolic problems in cylindrical domains of large size in some directions

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