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math-ph2020★ 21 cited
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…
math.AP2020
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…