DETERMINISTIC HOMOGENIZATION OF QUASILINEAR DAMPED HYPERBOLIC EQUATIONS

作者：Nguetseng Gabriel^*; Nnang Hubert; Svanstedt Nils

来源：Acta Mathematica Scientia, 2011, 31(5): 1823-1850.

DOI：10.1016/S0252-9602(11)60364-0

• homogenization
• sigma-convergence
• quasilinear
• hyperbolic

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.

• 出版日期2011-9