We study the perfect conductivity problem when two perfectly conducting inclusions are closely located to each other in an anisotropic background medium. We establish optimal upper and lower gradient bounds for the solution in any dimension which characterize the singular behavior of the electric field as the distance between the inclusions goes to zero
Abstract. We prove upper and lower estimates on the measure of an inclusion D in a conductor Ω in te...
We consider an insulated conductivity model with two neighboring inclusions of $m$-convex shapes in ...
of the optimal bounds for mixtures of two anisotropic conducting materials in two dimension
We study the perfect conductivity problem when two perfectly conducting inclusions are closely locat...
We establish both upper and lower bounds of the gradient estimates for solutions to the perfect cond...
We study the stress concentration, which is the gradient of the solution, when two smooth inclusions...
AbstractWhen inclusions with extreme conductivity (insulator or perfect conductor) are closely locat...
AbstractWe establish both upper and lower bounds on the electric field in the case where two circula...
When two inclusions get closer and their conductivities degenerate to zero or infinity, the gradient...
AbstractWhen two inclusions get closer and their conductivities degenerate to zero or infinity, the ...
We consider solutions to divergence form partial differential equations that model steady state heat...
Abstract. We consider solutions to divergence form partial differential equations that model steady ...
We investigate the high stress concentration in stiff fiber-reinforced composites. By the anti-plan...
In this note we review some recent results concerning the inverse inclusion problem. In particular w...
Uniqueness in inverse conductivity and scattering problems is considered. In the case when the mediu...
Abstract. We prove upper and lower estimates on the measure of an inclusion D in a conductor Ω in te...
We consider an insulated conductivity model with two neighboring inclusions of $m$-convex shapes in ...
of the optimal bounds for mixtures of two anisotropic conducting materials in two dimension
We study the perfect conductivity problem when two perfectly conducting inclusions are closely locat...
We establish both upper and lower bounds of the gradient estimates for solutions to the perfect cond...
We study the stress concentration, which is the gradient of the solution, when two smooth inclusions...
AbstractWhen inclusions with extreme conductivity (insulator or perfect conductor) are closely locat...
AbstractWe establish both upper and lower bounds on the electric field in the case where two circula...
When two inclusions get closer and their conductivities degenerate to zero or infinity, the gradient...
AbstractWhen two inclusions get closer and their conductivities degenerate to zero or infinity, the ...
We consider solutions to divergence form partial differential equations that model steady state heat...
Abstract. We consider solutions to divergence form partial differential equations that model steady ...
We investigate the high stress concentration in stiff fiber-reinforced composites. By the anti-plan...
In this note we review some recent results concerning the inverse inclusion problem. In particular w...
Uniqueness in inverse conductivity and scattering problems is considered. In the case when the mediu...
Abstract. We prove upper and lower estimates on the measure of an inclusion D in a conductor Ω in te...
We consider an insulated conductivity model with two neighboring inclusions of $m$-convex shapes in ...
of the optimal bounds for mixtures of two anisotropic conducting materials in two dimension
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