Homogenization and memory effect of a three by three system

Jiann Sheng Jiang; Kung Hwang Kuo; Chi Kun Lin

doi:10.1215/kjm/1250281969

Homogenization and memory effect of a three by three system

Jiann Sheng Jiang^*, Kung Hwang Kuo, Chi Kun Lin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The homogenization of 3 × 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.

Original language	English
Pages (from-to)	429-447
Number of pages	19
Journal	Kyoto Journal of Mathematics
Volume	45
Issue number	3
DOIs	https://doi.org/10.1215/kjm/1250281969
Publication status	Published - 2005
Externally published	Yes

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title = "Homogenization and memory effect of a three by three system",

abstract = "The homogenization of 3 × 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.",

author = "Jiang, {Jiann Sheng} and Kuo, {Kung Hwang} and Lin, {Chi Kun}",

year = "2005",

doi = "10.1215/kjm/1250281969",

language = "English",

volume = "45",

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journal = "Kyoto Journal of Mathematics",

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T1 - Homogenization and memory effect of a three by three system

AU - Jiang, Jiann Sheng

AU - Kuo, Kung Hwang

AU - Lin, Chi Kun

PY - 2005

Y1 - 2005

N2 - The homogenization of 3 × 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.

AB - The homogenization of 3 × 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.

UR - http://www.scopus.com/inward/record.url?scp=33644546081&partnerID=8YFLogxK

U2 - 10.1215/kjm/1250281969

DO - 10.1215/kjm/1250281969

M3 - Article

AN - SCOPUS:33644546081

SN - 0023-608X

VL - 45

SP - 429

EP - 447

JO - Kyoto Journal of Mathematics

JF - Kyoto Journal of Mathematics

IS - 3

ER -

Homogenization and memory effect of a three by three system

Abstract

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