The asymptotics for the perfect conductivity problem with stiff \(C^{1,\alpha}\)-inclusions
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Publication:2033225
DOI10.1016/j.jmaa.2021.125201zbMath1472.35103OpenAlexW3144646770MaRDI QIDQ2033225
Publication date: 14 June 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125201
boundary value problemsLaplace equationblow-up phenomena in highcontrast fiber-reinforced composites
Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Blow-up in context of PDEs (35B44)
Related Items (3)
Singularities of the stress concentration in the presence of 𝐶^{1,𝛼}-inclusions with core-shell geometry ⋮ Upper and lower bounds for stress concentration in linear elasticity when 𝐶^{1,𝛼} inclusions are close to boundary ⋮ The perfect conductivity problem with arbitrary vanishing orders and non-trivial topology
Cites Work
- Unnamed Item
- On the spectrum of the Poincaré variational problem for two close-to-touching inclusions in 2D
- Gradient estimates for the perfect conductivity problem
- Optimal estimates and asymptotics for the stress concentration between closely located stiff inclusions
- Decomposition theorems and fine estimates for electrical fields in the presence of closely located circular inclusions
- Stress amplification in vanishingly small geometries
- Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
- Optimal estimates for the conductivity problem by Green's function method
- Optimal estimates of the field enhancement in presence of a bow-tie structure of perfectly conducting inclusions in two dimensions
- Stress concentration for closely located inclusions in nonlinear perfect conductivity problems
- Electric field concentration in the presence of an inclusion with eccentric core-shell geometry
- Gradient estimates for solutions to the conductivity problem
- Asymptotics and computation of the solution to the conductivity equation in the presence of adjacent inclusions with extreme conductivities
- Spectral analysis of the Neumann-Poincaré operator and characterization of the stress concentration in anti-plane elasticity
- Damage analysis of fiber composites. I: Statistical analysis of fiber scale
- Gradient estimates for the perfect conductivity problem in anisotropic media
- Characterization of electric fields between two spherical perfect conductors with general radii in 3D
- Optimal estimates for the electric field in two dimensions
- Optimal bound on high stresses occurring between stiff fibers with arbitrary shaped cross-sections
- Pointwise bounds on the gradient and the spectrum of the Neumann-Poincaré operator: The case of 2 discs
- Gradient Estimates for the Perfect and Insulated Conductivity Problems with Multiple Inclusions
- Derivative estimates of solutions of elliptic systems in narrow regions
- Asymptotics for the Electric Field Concentration in the Perfect Conductivity Problem
- High Shear Stresses in Stiff-Fiber Composites
- Singular Behavior of Electric Field of High-Contrast Concentrated Composites
- Blow-up of Electric Fields between Closely Spaced Spherical Perfect Conductors
- Stresses in Narrow Regions
- Estimates for elliptic systems from composite material
- Blow-up of Solutions to a $p$-Laplace Equation
- An Elliptic Regularity Result for a Composite Medium with "Touching" Fibers of Circular Cross-Section
- Asymptotics of the Gradient of Solutions to the Perfect Conductivity Problem
- Elliptic estimates in composite media with smooth inclusions: an integral equation approach
- Estimates for Electric Fields Blown Up between Closely Adjacent Conductors with Arbitrary Shape
- Optimal Estimates for the Perfect Conductivity Problem with Inclusions Close to the Boundary
- Electrostatics of two charged conducting spheres
- Characterization of the Electric Field Concentration between Two Adjacent Spherical Perfect Conductors
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