On a selfadjoint realization of curl and some of its applications

zbMath0926.35104MaRDI QIDQ1292178

Rainer Picard

Publication date: 15 November 1999

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

curlelectrodynamicsBeltrami fieldsforce-free magnetic fieldsnormal components

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

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A Graph-Based Algorithm for the Approximation of the Spectrum of the Curl Operator ⋮ Finite element approximation of the spectrum of the curl operator in a multiply connected domain ⋮ Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields ⋮ On the principal eigenvalue of the Stokes operator in cylindrical domains ⋮ Explicit div-curl inequalities in bounded and unbounded domains of \({{\mathbb {R}}}^3\) ⋮ Self-adjoint curl operators ⋮ Time domain study of the Drude–Born–Fedorov model for a class of heterogeneous chiral materials ⋮ On electromagnetic waves in complex linear media in nonsmooth domains ⋮ Gauss-compatible Galerkin schemes for time-dependent Maxwell equations ⋮ Well-posedness for a general class of differential inclusions ⋮ Собственные функции операторов ротора, градиента дивергенции и Стокса. Приложения ⋮ A non-autonomous model for the evolution of electromagnetic fields in complex media

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