## Journal of Mathematics of Kyoto University

### Homogenization and memory effect of a three by three system

#### Abstract

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.

#### Article information

Source
J. Math. Kyoto Univ., Volume 45, Number 3 (2005), 429-447.

Dates
First available in Project Euclid: 14 August 2009

https://projecteuclid.org/euclid.kjm/1250281969

Digital Object Identifier
doi:10.1215/kjm/1250281969

Mathematical Reviews number (MathSciNet)
MR2206358

Zentralblatt MATH identifier
1100.35012

#### Citation

Jiang, Jiann-Sheng; Kuo, Kung-Hwang; Lin, Chi-Kun. Homogenization and memory effect of a three by three system. J. Math. Kyoto Univ. 45 (2005), no. 3, 429--447. doi:10.1215/kjm/1250281969. https://projecteuclid.org/euclid.kjm/1250281969