DETERMINISTIC HOMOGENIZATION OF QUASILINEAR DAMPED HYPERBOLIC EQUATIONS

DETERMINISTIC HOMOGENIZATION OF QUASILINEAR DAMPED HYPERBOLIC EQUATIONS

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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. 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.

作者 Gabriel Nguetseng Hubert Nnang Nils Svanstedt

机构地区 Faculty of Sciences Ecole Normale Suprieure Department of Mathematical Sciences

出处《Acta Mathematica Scientia》 SCIE CSCD 2011年第5期1823-1850,共28页 数学物理学报（B辑英文版）

关键词 HOMOGENIZATION sigma-convergence QUASILINEAR HYPERBOLIC homogenization sigma-convergence quasilinear hyperbolic

分类号 O175.27 [理学—数学]

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2011年第5期

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DETERMINISTIC HOMOGENIZATION OF QUASILINEAR DAMPED HYPERBOLIC EQUATIONS

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二级参考文献20

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