Journal of Mathematics of Kyoto University

Homogenization and memory effect of a three by three system

Jiann-Sheng Jiang, Kung-Hwang Kuo, and Chi-Kun Lin

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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

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

First available in Project Euclid: 14 August 2009

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34B27: Green functions
Secondary: 34K30: Equations in abstract spaces [See also 34Gxx, 35R09, 35R10, 47Jxx] 74Q05: Homogenization in equilibrium problems


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.

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