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Averaging principles for the Swift-Hohenberg equation

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This work studies the effects of rapid oscillations (with respect to time) of the forcing term on the long-time behaviour of the solutions of the Swift-Hohenberg equation. More precisely, we… Click to show full abstract

This work studies the effects of rapid oscillations (with respect to time) of the forcing term on the long-time behaviour of the solutions of the Swift-Hohenberg equation. More precisely, we establish three kinds of averaging principles for the Swift-Hohenberg equation, they are averaging principle in a time-periodic problem, averaging principle on a finite time interval and averaging principle on the entire axis.

Keywords: swift hohenberg; time; hohenberg equation; principles swift; averaging principles

Journal Title: Communications on Pure and Applied Analysis
Year Published: 2020

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