9 papers · 1 filter
Specific properties of the ODE's flow in dimension two versus dimension three
Marc Briane, Loïc Hervé
This paper deals with the asymptotics of the ODE's flow induced by a regular vector field b on the d-dimensional torus R d /Z d. First, we start by revisiting the Franks-Misiurewic…
Asymptotics of ODE's flows everywhere or almost-everywhere in the torus:from rotation sets to homogenization of transport equations
Marc Briane, Loïc Hervé
In this paper, we study various aspects of the ODE's flow solution to the equation , in the -dimensional torus , where is a…
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…
Increase of mass and nonlocal effects in the homogenization of magneto-elastodynamics problems
Marc Briane, Juan Casado-Diaz
The paper deals with the homogenization of a magneto-elastodynamics equation satisfied by the displacement of an elastic body which is subjected to an oscillating…