171 citations · 192 across the 3 of their papers we have counts for
3 papers
Wave-driven assembly of quasi periodic patterns of particles
Elena Cherkaev, Fernando Guevara Vasquez, China Mauck +2
We theoretically show that a superposition of plane waves causes small (compared to the wavelength) particles dispersed in a fluid to assemble in quasiperiodic two or three dimensi…
Geometric series expansion of the Neumann-Poincaré operator: application to composite materials
Elena Cherkaev, Minwoo Kim, Mikyoung Lim
The Neumann-Poincaré operator, a singular integral operator on the boundary of a domain, naturally appears when one solves a conductivity transmission problem via the boundary inte…
Homogenization of quasiperiodic structures and two-scale cut-and-projection convergence
Niklas Wellander, Sébastien Guenneau, Elena Cherkaev
Quasiperiodic arrangements of the constitutive materials in composites result in effective properties with very unusual electromagnetic and elastic properties. The paper discusses…