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$_x f=0$.
Citation
Roberto Peirone. "Homogenization of ordinary and linear transport equations." Differential Integral Equations 9 (2) 323 - 334, 1996. https://doi.org/10.57262/die/1367603349
Information