## Differential and Integral Equations

### Homogenization of ordinary and linear transport equations

Roberto Peirone

#### Abstract

The homogenization of first order ordinary differential equations in $\mathbb{R}^N$ and associated linear transport equations are studied. We prove the equivalence between $G$-convergence and strong $G$-convergence for the ordinary equations. We give a sufficient condition, which is also necessary in the autonomous case, for the weak homogenization of the linear transport equations. This condition is satisfied when div$_x f=0$.

#### Article information

Source
Differential Integral Equations, Volume 9, Number 2 (1996), 323-334.

Dates
First available in Project Euclid: 3 May 2013