Asymptotics of the Gradient of Solutions to the Perfect Conductivity Problem
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Publication:5197634
DOI10.1137/18M1214329zbMath1426.78022arXiv1811.03468OpenAlexW2963101000WikidataQ127577733 ScholiaQ127577733MaRDI QIDQ5197634
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Publication date: 19 September 2019
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.03468
Smoothness and regularity of solutions to PDEs (35B65) 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 ⋮ Singularities of the stress concentration in the presence of 𝐶^{1,𝛼}-inclusions with core-shell geometry ⋮ Anisotropic conductivity problem with both perfect and insulated inclusions ⋮ Lower bounds of gradient's blow-up for the Lamé system with partially infinite coefficients ⋮ Gradient asymptotics of solutions to the Lamé systems in the presence of two nearly touching \(C^{1, \gamma }\)-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 Interaction Between Two Close-To-Touching Convex Acoustic Subwavelength Resonators ⋮ 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 ⋮ 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
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