The insulated conductivity problem, effective gradient estimates and the maximum principle
From MaRDI portal
Publication:2697554
DOI10.1007/s00208-021-02314-3OpenAlexW4220738291MaRDI QIDQ2697554
Publication date: 12 April 2023
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.14143
Related Items (8)
Gradient estimates for the insulated conductivity problem: The case of m-convex inclusions ⋮ Stress Blowup Analysis When a Suspending Rigid Particle Approaches the Boundary in Stokes Flow: 2-Dimensional Case ⋮ The insulated conductivity problem with \(p\)-Laplacian ⋮ Optimal estimates for transmission problems including relative conductivities with different signs ⋮ Gradient estimates for the insulated conductivity problem with inclusions of the general m‐convex shapes ⋮ Exact solutions for the insulated and perfect conductivity problems with concentric balls ⋮ Stress blow-up analysis when suspending rigid particles approach boundary in 3D Stokes flow ⋮ Spectral geometry and analysis of the Neumann-Poincaré operator, a review
Cites Work
- Unnamed Item
- An optimal estimate for electric fields on the shortest line segment between two spherical insulators in three dimensions
- Gradient estimates for the perfect conductivity problem
- Stress amplification in vanishingly small geometries
- Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
- Elliptic partial differential equations of second order
- Optimal estimates for the conductivity problem by Green's function method
- 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
- Optimal estimates for the electric field in two dimensions
- Optimal bound on high stresses occurring between stiff fibers with arbitrary shaped cross-sections
- Gradient Estimates for the Perfect and Insulated Conductivity Problems with Multiple Inclusions
- High Shear Stresses in Stiff-Fiber Composites
- Stresses in Narrow Regions
- Estimates for elliptic systems from composite material
- An Elliptic Regularity Result for a Composite Medium with "Touching" Fibers of Circular Cross-Section
- Estimates for Electric Fields Blown Up between Closely Adjacent Conductors with Arbitrary Shape
This page was built for publication: The insulated conductivity problem, effective gradient estimates and the maximum principle