Averaging principle for stochastic complex Ginzburg-Landau equations

Author:

Cheng MengyuORCID,Liu ZhenxinORCID,Röckner Michael

Funder

Dalian High-Level Talent Innovation Program

Deutsche Forschungsgemeinschaft

National Natural Science Foundation of China

China Scholarship Council

Universität Bielefeld

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference47 articles.

1. The world of the complex Ginzburg-Landau equation;Aranson;Rev. Mod. Phys.,2002

2. Diffusion approximation for slow motion in fully coupled averaging;Bakhtin;Probab. Theory Relat. Fields,2004

3. Asymptotic Methods in the Theory of Non-linear Oscillations;Bogolyubov,1961

4. A Khasminskii type averaging principle for stochastic reaction–diffusion equations;Cerrai;Ann. Appl. Probab.,2009

5. Averaging principle for systems of reaction-diffusion equations with polynomial nonlinearities perturbed by multiplicative noise;Cerrai;SIAM J. Math. Anal.,2011

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