On the heels of the continuous development of electromagnetic and wave technology,
higher requirements have been put forward for the detection of environmental magnetic …

Examples of non-quasiconvex functions that are rank-one convex are rare. In this paper we
construct a family of such functions by means of the algebraic methods of the theory of exact …

The mathematical method of composites has reached a very high level of maturity and
developments have increased our understanding of the relationship between the …

A periodic composite of four isotropic phases with an almost antisymmetric effective Hall
matrix is constructed. This is done through the use of a microstructure, with high contrast …

In this thesis, we consider a class of Z-problems and their associated effective operators on
Hilbert spaces which arise in effective media theory, especially within the theory of …

In this paper we present the exhaustive and non-redundant list of all microstructure-
independent relations for effective conductivity of fiber-reinforced composites with Hall effect …

Homogenized laws for sequences of high-contrast two-phase non-symmetric conductivities
perturbed by a parameter h are derived in two and three dimensions. The parameter h …

Predicting the effective elastic properties of a composite material based on the elastic
properties of the constituent materials is extremely difficult, even when the microstructure is …

In this paper we determine, in dimension three, the effective conductivities of non periodic
high-contrast two-phase cylindrical composites, placed in a constant magnetic field, without …

This paper deals with bounds satisfied by the effective non-symmetric conductivity of three-
dimensional composites in the presence of a strong magnetic field. On the one hand, it is …