Geodesic
Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence
Applications of Mathematics, Tome 55 (2010) no. 4, pp. 305-327.

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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.
DOI : 10.1007/s10492-010-0023-7
Classification : 35B27, 35K20, 35K55, 74Q15
Keywords: parabolic PDEs; Rothe's method; two-scale convergence; homogenization of periodic structures; homogenization algorithm 
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Essel, Emmanuel Kwame; Kuliev, Komil; Kulieva, Gulchehra; Persson, Lars-Erik. Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence. Applications of Mathematics, Tome 55 (2010) no. 4, pp. 305-327. doi : 10.1007/s10492-010-0023-7. http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0023-7/

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