数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (5): 1823-1850.doi: 10.1016/S0252-9602(11)60364-0

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DETERMINISTIC HOMOGENIZATION OF QUASILINEAR DAMPED HYPERBOLIC EQUATIONS

Gabriel Nguetseng|Hubert Nnang|Nils Svanstedt   

  1. Faculty of Sciences, University of Yaounde I, P.O. Box 812 Yaounde, Cameroon|Ecole Normale Sup´erieure, University of Yaounde I, P.O. Box 47 Yaounde, Cameroon|Department of Mathematical Sciences, University of Gothenburg, SE-412 96 G¨oteborg, Sweden
  • 收稿日期:2010-03-12 出版日期:2011-09-20 发布日期:2011-09-20

DETERMINISTIC HOMOGENIZATION OF QUASILINEAR DAMPED HYPERBOLIC EQUATIONS

Gabriel Nguetseng|Hubert Nnang|Nils Svanstedt   

  1. Faculty of Sciences, University of Yaounde I, P.O. Box 812 Yaounde, Cameroon|Ecole Normale Sup´erieure, University of Yaounde I, P.O. Box 47 Yaounde, Cameroon|Department of Mathematical Sciences, University of Gothenburg, SE-412 96 G¨oteborg, Sweden
  • Received:2010-03-12 Online:2011-09-20 Published:2011-09-20

摘要:

Deterministic homogenization is studied for quasilinear monotone hyperbolic problems with a linear damping term. It is shown by the sigma-convergence method that the sequence of solutions to a class of multi-scale highly oscillatory hyperbolic problems converges to the solution to a homogenized quasilinear hyperbolic problem.

关键词: homogenization, sigma-convergence, quasilinear, hyperbolic

Abstract:

Deterministic homogenization is studied for quasilinear monotone hyperbolic problems with a linear damping term. It is shown by the sigma-convergence method that the sequence of solutions to a class of multi-scale highly oscillatory hyperbolic problems converges to the solution to a homogenized quasilinear hyperbolic problem.

Key words: homogenization, sigma-convergence, quasilinear, hyperbolic

中图分类号: 

  • 35B40