Deterministic homogenization of weakly damped nonlinear hyperbolic-parabolic equations
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- Nnang, H. Nonlinear Differ. Equ. Appl. (2012) 19: 539. doi:10.1007/s00030-011-0142-1
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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.