28 citations · 32 across the 10 of their papers we have counts for
4 papers · 1 filter
Pattern formations and optimal packing
Vladimir Mityushev
Patterns of different symmetries may arise after solution to reaction-diffusion equations. Hexagonal arrays, layers and their perturbations are observed in different models after n…
Effective Conductivity and Critical Properties of a Hexagonal Array of Superconducting Cylinders
Simon Gluzman, Vladimir Mityushev, Wojciech Nawalaniec +1
Effective conductivity of a 2D composite corresponding to the regular hexagonal arrangement of superconducting disks is expressed in the form of a long series in the volume fractio…
Composites with invisible inclusions: eigenvalues of R-linear problem
Vladimir Mityushev
An new eigenvalue -linear problem arisen in the theory of metamaterials is stated and constructively investigated for circular non-overlapping inclusions. An asymptotic…
Random composites and the generalized method of Schwarz I. Conductivity problems
Vladimir Mityushev
Two-phase composites with non-overlapping inclusions randomly embedded in matrix are investigated. A straight forward approach is applied to estimate the effective properties of ra…