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math.AP2017
Stationary convection-diffusion equation in an infinite cylinder
Irina Pettersson, Andrey Piatnitski
We study the existence and uniqueness of a solution to a linear stationary convection-diffusion equation stated in an infinite cylinder, Neumann boundary condition being imposed on…
math.AP2017
Two-scale convergence in thin domains with locally periodic rapidly oscillating boundary
Irina Pettersson
The aim of this paper is to adapt the notion of two-scale convergence in to the case of a measure converging to a singular one. We present a specific case when a thin cylinde…