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Keywords:
parabolic PDEs; Rothe's method; two-scale convergence; homogenization of periodic structures; homogenization algorithm
parabolic PDEs; Rothe's method; two-scale convergence; homogenization of periodic structures; homogenization algorithm
Summary:
We consider a quasilinear parabolic problem with time dependent coefficients oscillating rapidly in the space variable. The existence and uniqueness results are proved by using Rothe's method combined with the technique of two-scale convergence. \endgraf Moreover, we derive a concrete homogenization algorithm for giving a unique and computable approximation of the solution.
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