The homogenization of $3 \times 3$ system of differential equations related to the Coriolis and Lorentz forces are studied. It generates memory effects. The memory (or nonlocal) kernel is described by the Volterra integral equation. When the coefficient is independent of time, the memory kernel can be characterized explicitly in terms of Young’s measure. The kinetic formulation of the homogenized equation is also obtained.
"Homogenization and memory effect of a three by three system." J. Math. Kyoto Univ. 45 (3) 429 - 447, 2005. https://doi.org/10.1215/kjm/1250281969