Acta mathematica scientia,Series B ›› 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
  • Received:2010-03-12 Online:2011-09-20 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.

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

CLC Number: 

  • 35B40
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