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Averaging of a nonlinear bipolar model with phase transition and oscillating external forces

Medjo T. T.

Journal of Applied Analysis

2015

Vol. 21, nr 2

123--146

In this article, we consider a non-autonomous nonlinear bipolar with phase transition in a two-dimensional bounded domain. We assume that the external force is singularly oscillating and depends on a small parameter ε. We prove the existence of the uniform global attractor Aε. Furthermore, using the method of [9] in the case of the two-dimensional Navier-Stokes systems, we study the convergence of Aε as e goes to zero.