摘要:We consider a Wong–Zakai process, which is the difference of a Wiener-like process. We then prove that there are random attractors for non-autonomous Ginzburg–Landau equations driven by linear multiplicative noise in terms of Wong–Zakai process and Wiener-like process, respectively. Moreover, we establish the upper semi-continuity of random attractors as the size of difference noise tends to zero.
关键词:Random attractors;Random dynamical systems;Ginzburg;Landau Equations;Upper semi-continuity;Wong;Zakai difference;Wiener-like process