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math.AP2013
Asymptotic Approximation of the Dirichlet to Neumann Map of High Contrast Conductive Media
Liliana Borcea, Yuliya Gorb, Yingpei Wang
We present an asymptotic study of the Dirichlet to Neumann map of high contrast composite media with perfectly conducting inclusions that are close to touching. The result is an ex…
math.AP2013
Homogenization for Rigid Suspensions with Random Velocity-Dependent Interfacial Forces
Yuliya Gorb, Florian Maris, Bogdan Vernescu
We study suspensions of solid particles in a viscous incompressible fluid in the presence of highly oscillatory velocity-dependent surface forces. The flow at a small Reynolds numb…