Zobrazeno 1 - 10
of 194
pro vyhledávání: '"Briane, Marc"'
Autor:
Briane, Marc, Hervé, Loïc
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 $\in$ R d , where b is a regular Z dperiodic vector field in R d. More precisely, we provide various conditions
Externí odkaz:
http://arxiv.org/abs/2301.02000
Autor:
Briane, Marc, Hervé, Loïc
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-Misiurewicz theorem which claims that the Herman rotation set of any two-dimensi
Externí odkaz:
http://arxiv.org/abs/2111.02090
Autor:
Briane, Marc, Hervé, Loïc
In this paper, we study various aspects of the ODE's flow $X$ solution to the equation $\partial_t X(t,x)=b(X(t,x))$, $X(0,x)=x$ in the $d$-dimensional torus $Y_d$, where $b$ is a regular $\mathbb{Z}^d$-periodic vector field from $\mathbb{R}^d$ in $\
Externí odkaz:
http://arxiv.org/abs/2101.08995
Autor:
Briane, Marc, Hervé, Loïc
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 $\in$ R, with X(0, x) = x a point of the torus Y d := R d /Z d. We assume that the vector field b reads
Externí odkaz:
http://arxiv.org/abs/2009.13121
Autor:
Briane, Marc, Hervé, Loïc
In this paper we study the large time asymptotics of the flow of a dynamical system $X'=b(X)$ posed in the $d$-dimensional torus. Rather than using the classical unique ergodicity condition which is not fulfilled if $b$ vanishes at different points,
Externí odkaz:
http://arxiv.org/abs/1912.09213
Autor:
Briane, Marc, Casado-Diaz, Juan
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 show two limit behaviors according to the magnetic field. On the one han
Externí odkaz:
http://arxiv.org/abs/1910.01328
Autor:
Briane, Marc
The paper is devoted to a new approach of the homogenization of linear transport equations induced by a uniformly bounded sequence of vector fields $b_\epsilon(x)$, the solutions of which $u_\epsilon(t,x)$ agree at $t=0$ with a bounded sequence of $L
Externí odkaz:
http://arxiv.org/abs/1905.08985
Autor:
Briane, Marc
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 $\sigma$ such that $\sigma$b is divergence free in R d or in an open set of R d
Externí odkaz:
http://arxiv.org/abs/1901.09675
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Briane, Marc, Casado-Diaz, Juan
The paper deals with the homogenization of a magneto-elastodynamics equation satisfied by the displacement $u\_\varepsilon$ of an elastic body which is subjected to an oscillating magnetic field $B\_\varepsilon$ generating the Lorentz force $\partial
Externí odkaz:
http://arxiv.org/abs/1806.10998