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2005 Homogenization and memory effect of a three by three system
Jiann-Sheng Jiang, Kung-Hwang Kuo, Chi-Kun Lin
J. Math. Kyoto Univ. 45(3): 429-447 (2005). DOI: 10.1215/kjm/1250281969

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.

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Jiann-Sheng Jiang. Kung-Hwang Kuo. Chi-Kun Lin. "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

Information

Published: 2005
First available in Project Euclid: 14 August 2009

zbMATH: 1100.35012
MathSciNet: MR2206358
Digital Object Identifier: 10.1215/kjm/1250281969

Subjects:
Primary: 34B27
Secondary: 34K30, 74Q05

Rights: Copyright © 2005 Kyoto University

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