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Optimal anisotropic three-phase conducting composites: Plane problem
multimaterial composites optimal microstructures bounds for effective properties
2010/12/7
The paper establishes tight lower bound for effective conductivity tensor K∗ of two-imensional
three-phase conducting anisotropic composites and defines optimal microstructures. It is assumed t...
Uniformization of Sierpiński carpets in the plane
Uniformization of Sierpiński carpets plane
2010/12/9
Let Si, i ∈ I, be a countable collection of Jordan curves in the extended complex plane bC that bound pairwise disjoint closed Jordan regions. If the Jordan curves are uniform quasicircles and are uni...
A "hybrid plane" with spin-orbit interaction and magnetic field
"hybrid plane" with spin-orbit interaction magnetic field
2010/12/13
We discuss spectral and resonance properties of a Hamiltonian describing motion of an electron moving on a \hybrid surface" consisting on a hal ine attached by its endpoints to a plane under in uence ...
Let G be a plane graph and T an even subset of its vertices. It has been conjectured that if all T-cuts of G have the same parity and the size of every T-cut is at least k, then G contains k edge-disj...
Evolution of plane curves with a curvature adjusted tangential velocity
curvature driven flow of plane curves curvature adjusted tangential velocity
2010/12/6
We study evolution of closed embedded plane curves with the normal veloc-ity depending on the curvature, the orientation and position of a curve. We propose a new method of tangential redistribution o...