5 papers
Revisiting the asymptotics of the flow for some dynamical systems on the torus
Marc Briane, Loïc Hervé
In this paper we study the large time asymptotics of the flow of a dynamical system posed in the -dimensional torus. Rather than using the classical unique ergodicity…
Homogenization of an elastodynamics system with a strong magnetic field and soft inclusions inducing a viscoelastic effective behavior
Marc Briane, Juan Casado-Diaz
In this paper we study the homogenization of a linear elastodynamics system in an elastic body with soft inclusions, which is embedded in a highly oscillating magnetic field. We sh…
Homogenization of linear transport equations. A new approach
Marc Briane
The paper is devoted to a new approach of the homogenization of linear transport equations induced by a uniformly bounded sequence of vector fields , the solutions of which…
Isotropic realizability of fields and reconstruction of invariant measures under positivity properties. Asymptotics of the flow by a non-ergodic approach
Marc Briane
The paper is devoted to the isotropic realizability of a regular gradient field u or a more general vector field b, namely the existence of a continuous positive function such…
Magneto-resistance in three-dimensional composites
Marc Briane, Laurent Pater
In this paper we study the magneto-resistance, i.e. the second-order term of the resistivity perturbed by a low magnetic field, of a three-dimensional composite material. Extending…