Articles

DETERMINISTIC HOMOGENIZATION OF QUASILINEAR DAMPED HYPERBOLIC EQUATIONS

  • Gabriel Nguetseng ,
  • Hubert Nnang ,
  • Nils Svanstedt
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  • 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 date: 2010-03-12

  Online published: 2011-09-20

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.

Cite this article

Gabriel Nguetseng , Hubert Nnang , Nils Svanstedt . DETERMINISTIC HOMOGENIZATION OF QUASILINEAR DAMPED HYPERBOLIC EQUATIONS[J]. Acta mathematica scientia, Series B, 2011 , 31(5) : 1823 -1850 . DOI: 10.1016/S0252-9602(11)60364-0

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