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

Changchun Liu; Zhao Wang

doi:10.3934/cpaa.2014.13.1087

Article Contents

2014, Volume 13, Issue 3: 1087-1104. Doi: 10.3934/cpaa.2014.13.1087

This issue Previous Article A nonlinear eigenvalue problem for the periodic scalar $p$-Laplacian Next Article Asymptotic behaviour of solutions to linear neutral delay differential equations with periodic coefficients

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

Changchun Liu^1, and
Zhao Wang^1,

1.
Department of Mathematics, Jilin University, Changchun 130012

Received: March 31, 2013

Revised: September 30, 2013

Published: April 2015

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Abstract

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.

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Mathematics Subject Classification: Primary: 35B10, 35K35; Secondary: 35K55.

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References

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