Stochastic-periodic homogenization of Maxwell’s equations with linear and periodic conductivity

Stochastic-periodic homogenization of Maxwell’s equations with linear and periodic conductivity

Stochastic-periodic homogenization is studied for the Maxwell equations with the linear and periodic electric conductivity. It is shown by the stochastic-two-scale convergence method that the sequence of solutions to a class of highly oscillatory problems converges to the solution of a homogenized M...

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Veröffentlicht in:Acta mathematica Sinica. English series 2017, Vol.33 (1), p.117-152
Hauptverfasser: Fotso Tachago, Joel, Nnang, Hubert
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Convergence
Dynamical systems
Electrical conductivity
Homogenization
Homogenizing
Mathematical analysis
Mathematics
Mathematics and Statistics
Maxwell equation
Probability theory
Randomness
Studies
Thermodynamics
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Beschreibung
Zusammenfassung:Stochastic-periodic homogenization is studied for the Maxwell equations with the linear and periodic electric conductivity. It is shown by the stochastic-two-scale convergence method that the sequence of solutions to a class of highly oscillatory problems converges to the solution of a homogenized Maxwell equation.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-016-5597-x