Date: 18 Nov 2011

Deterministic homogenization of weakly damped nonlinear hyperbolic-parabolic equations

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Abstract

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

An erratum to this article can be found at http://dx.doi.org/10.1007/s00030-012-0161-6.