Darwin approximation for the system of Maxwell's equations in inhomogeneous conducting media

DOI10.1134/S0965542520080102zbMath1450.35248OpenAlexW3092530968MaRDI QIDQ2206375

A. A. Tyukhtina, Alexey V. Kalinin

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520080102

zbMATH Keywords

inhomogeneous mediaDarwin approximationquasi-stationary approximationsystem of Maxwell's equations

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Motion of charged particles (78A35) Maxwell equations (35Q61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• Analysis of a FEM-BEM model posed on the conducting domain for the time-dependent eddy current problem
• Initial-boundary value problems for the equations of the global atmospheric electric circuit
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• Inverse final observation problems for Maxwell's equations in the quasi-stationary magnetic approximation and stable sequential Lagrange principles for their solving
• Finite Element Methods for Navier-Stokes Equations
• An analysis of the Darwin model of approximation to Maxwell’s equations
• A Justification of Eddy Currents Model for the Maxwell Equations
• L_p‐estimates for scalar products of vector fields and their application to electromagnetic theory problems
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