Homogenization For Two Classes Of Nonlinear Parabolic Equations

The homogenization of a class of nonlinear parabolic equations in fixed domain and a class of nonlinear parabolic equations in perforated domain is deeply studied in this dissertation. Also, the corrector results are proved to improve the weak convergence of ? uεto strong convergence.Based on the known results existing in the literature, the so-called"two-scale convergence"method and the energy method are combined to obtain the homogenization and corrector results of the following parabolic equations in the fixed domain and perforated domain respectively:...