Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence
Emmanuel Kwame Essel, Komil Kuliev, Gulchehra Kulieva, Lars‐Erik Persson · Applications of Mathematics · 2010
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.Moreover, we derive a concrete homogenization algorithm for giving a unique and computable approximation of the solution.