44 citations
3 papers
math.AP2012
A local-effective relation in planar linear elasticity
Dag Lukkassen, Annette Meidell, Klas Pettersson
We give an example of a relation between local and effective properties for elastic structures, up to geometric constants. The model considered is a periodic structure with isotrop…
math.PR2008★ 44 cited
Homogenization of a singular random one-dimensional PDE
Bogdan Iftimie, Étienne Pardoux, Andrey Piatnitski
This paper deals with the homogenization problem for a one-dimensional parabolic PDE with random stationary mixing coefficients in the presence of a large zero order term. We show…
math.AP2007★ 1 cited
Khasminskii--Whitham averaging for randomly perturbed KdV equation
Sergei B. Kuksin, Andrey L. Piatnitski
We consider the damped-driven KdV equation where and the random process i…