Asymptotics of solutions of the stationary and nonstationary Maxwell systems in a domain with small cavities

DOI10.1090/spmj/1462zbMath1364.35356OpenAlexW2611242556MaRDI QIDQ5268013

D. V. Korikov, Boris A. Plamenevsky

Publication date: 14 June 2017

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1462

zbMATH Keywords

asymptotics of solutionsimpedance boundary conditionssingularly perturbed domainsMaxwell dynamical system

Mathematics Subject Classification ID

Maxwell equations (35Q61)

Related Items (6)

A New Class of Uniformly Stable Time-Domain Foldy–Lax Models for Scattering by Small Particles. Acoustic Sound-Soft Scattering by Circles ⋮ Asymptotics of the solution to the boundary-value problem when the limit equation has an irregular singular point ⋮ Asymptotics of the solution to the boundary-value problems when limited equation has singular point ⋮ Asymptotics of eigenvalues of the Maxwell system in a domain with small cavities ⋮ Equivalent multipolar point-source modeling of small spheres for fast and accurate electromagnetic wave scattering computations ⋮ Analysis of the Acoustic Waves Reflected by a Cluster of Small Holes in the Time-Domain and the Equivalent Mass Density

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• On the asymptotics of solutions to the Neumann problem for hyperbolic systems in domains with conical points
• L₂-Theory of the Maxwell operator in arbitrary domains
• On the nonstationary Maxwell system in domains with edges
• Elastodynamics in domains with edges
• Asymptotics of solutions to the wave equation in a domain with a small hole
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE

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