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Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions

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  • In this paper, we study the time periodic solution of a sixth order nonlinear parabolic equation, which arises in oil-water-surfactant mixtures. Based on Leray-Schauder's fixed point theorem and Campanato spaces, we prove the existence of time-periodic solutions in two space dimensions.
    Mathematics Subject Classification: Primary: 35B10, 35K35; Secondary: 35K55.


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