64 citations · 117 across the 23 of their papers we have counts for
26 papers
Fine asymptotic expansion of the ODE's flow
Marc Briane, Loïc Hervé
In this paper, we study the asymptotic expansion of the flow X(t, x) solution to the nonlinear ODE: X (t, x) = b X(t, x) with X(0, x) = x R d , where b is a regular Z dperiod…
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…
Asymptotics of ODE's flow on the torus through a singleton condition and a perturbation result. Applications
Marc Briane, Loïc Hervé
This paper deals with the long time asymptotics X(t, x)/t of the flow X solution to the autonomous vector-valued ODE: X (t, x) = b(X(t, x)) for t R, with X(0, x) = x a point…
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…