We consider an incompressible Bingham flow in a thin domain with rough boundary, under the action of given external forces and no-slip boundary condition on whole domain. In mathematical terms, this problem is described by non linear variational inequalities over domains where small parameter $$\epsilon $$ denotes thickness roughness periodicity boundary. By using adapted unfolding operator we ...

Let K be a connected finite complex. This paper studies the problem of whether one can attach a cell to some iterated suspension ΣK so that the resulting space satisfies Poincaré duality. When this is possible, we say that ΣK is a spine. We introduce the notion of quadratic self duality and show that if K is quadratically self dual, then ΣK is a spine whenever j is a suitable power of two. The ...

This lecture is devoted to a brief introduction to the mathematical theory of homogenization. For a more advanced presentation of homogenization, the reader is referred to the books [2], [5], [6], [11], [12], [21], [27], [32] and [33]. Roughly speaking, homogenization is a rigorous version of what is known as averaging. In other words, homogenization extracts homogeneous effective parameters fr...