HOMOGENIZATION OF THE DIRAC-LIKE SYSTEM

DOI10.1142/S0218202501000921zbMath1013.35005MaRDI QIDQ4798869

Jiann-Sheng Jiang, Chi-Kun Lin

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

memory effectskinetic formulationYoung's measureDunford-Taylor integralHergoltz function

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Volterra integral equations (45D05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

GUIDING CENTER DRIFT INDUCED BY HOMOGENIZATION ⋮ Homogenization and electronic polarization effects in dielectric materials ⋮ Weak turbulence plasma induced by two-scale homogenization

Cites Work

• Memory effects in homogenisation: Linear second-order equations
• Some results on homogenization of convection-diffusion equations
• Memory effects and homogenization
• On the determination of a differential equation from its spectral function
• A non-local description of advection-diffusion with application to dispersion in porous media
• The effect of order on dispersion in porous media
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
• Estimates for the averaged matrix and the averaged tensor
• Kinetic formulation for a transport equation with memory
• Microlocal defect measures
• Homogenisation of parametrised families of hyperbolic problems
• Memory effect phenomena and Г-convergence
• A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential
• Homogenization limits and Wigner transforms

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