Characterization of electric fields between two spherical perfect conductors with general radii in 3D
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Publication:2323841
DOI10.1016/j.jde.2019.07.007zbMath1428.35557arXiv1808.04219OpenAlexW2959211960WikidataQ127528841 ScholiaQ127528841MaRDI QIDQ2323841
Longjuan Xu, Fang Wang, Hai Gang Li
Publication date: 12 September 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.04219
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Composite media; random media in optics and electromagnetic theory (78A48) Asymptotic analysis in optics and electromagnetic theory (78M35) Blow-up in context of PDEs (35B44)
Related Items (15)
Gradient estimates for the insulated conductivity problem: The case of m-convex inclusions ⋮ Asymptotic analysis for the electric field concentration with geometry of the core-shell structure ⋮ Anisotropic conductivity problem with both perfect and insulated inclusions ⋮ Upper and lower bounds for stress concentration in linear elasticity when 𝐶^{1,𝛼} inclusions are close to boundary ⋮ Optimal estimates for transmission problems including relative conductivities with different signs ⋮ The perfect conductivity problem with arbitrary vanishing orders and non-trivial topology ⋮ Quantitative analysis of field concentration in presence of closely located inclusions of high contrast ⋮ Boundary Blow-Up Analysis of Gradient Estimates for Lamé Systems in the Presence of $m$-Convex Hard Inclusions ⋮ Gradient estimates of solutions to the insulated conductivity problem in dimension greater than two ⋮ Asymptotics for the Electric Field Concentration in the Perfect Conductivity Problem ⋮ Asymptotics for the concentrated field between closely located hard inclusions in all dimensions ⋮ Estimates and asymptotics for the stress concentration between closely spaced stiff \(C^{1, \gamma }\) inclusions in linear elasticity ⋮ Optimal gradient estimates for the perfect conductivity problem with \(C^{1,\alpha}\) inclusions ⋮ The asymptotics for the perfect conductivity problem with stiff \(C^{1,\alpha}\)-inclusions ⋮ Spectral geometry and analysis of the Neumann-Poincaré operator, a review
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