HOMOGENIZATION OF THE DIRAC-LIKE SYSTEM

2001 ◽  
Vol 11 (03) ◽  
pp. 433-458 ◽  
Author(s):  
JIANN-SHENG JIANG ◽  
CHI-KUN LIN
Keyword(s):  
Integral Equation ◽  
Volterra Integral Equation ◽  
Memory Effects ◽  
Memory Kernel ◽  
Separable Variable ◽  
Kinetic Form

The homogenization of the Dirac-like system is 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 homogenized equation can be reformulated in the kinetic form by introducing the kinetic variable. We also characterize the memory kernel when the coefficient is of separable variable.

scholarly journals GUIDING CENTER DRIFT INDUCED BY HOMOGENIZATION

2012 ◽  
Vol 22 (05) ◽  
pp. 1150027 ◽  
Author(s):  
JIANN-SHENG JIANG ◽  
CHI-KUN LIN
Keyword(s):  
Integral Equation ◽  
Volterra Integral Equation ◽  
Radon Measure ◽  
Memory Effects ◽  
Memory Kernel ◽  
Lorentz Forces ◽  
Velocity Drift

The guiding center drift induced by the homogenization of the Lorentz forces is studied. It generates memory effects. The memory (or nonlocal) kernel is described by the Volterra integral equation. The memory kernel can be characterized explicitly in terms of a Radon measure. It describes the extra velocity drift. By way of velocity drift, we view the Gauss's law with polarization charges.

On the Volterra integral equation relating creep and relaxation

2008 ◽  
Vol 24 (3) ◽  
pp. 035009 ◽  
Author(s):  
R S Anderssen ◽  
A R Davies ◽  
F R de Hoog
Keyword(s):  
Integral Equation ◽  
Volterra Integral Equation

scholarly journals New homotopy analysis transform algorithm to solve volterra integral equation

2014 ◽  
Vol 5 (1) ◽  
pp. 243-246 ◽  
Author(s):  
Sunil Kumar ◽  
Jagdev Singh ◽  
Devendra Kumar ◽  
Saurabh Kapoor
Keyword(s):  
Integral Equation ◽  
Volterra Integral Equation ◽  
Homotopy Analysis
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