Large energy simple modes for a class of Kirchhoff equations

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dc.contributor.authorGhisi, Marina
dc.date.accessioned2021-01-27T14:17:48Z
dc.date.available2021-01-27T14:17:48Z
dc.date.issued2003-09-17
dc.description.abstractIt is well known that the Kirchhoff equation admits infinitely many simple modes, i.e., time periodic solutions with only one Fourier component in the space variable(s). We prove that for some form of the nonlinear term these simple modes are stable provided that their energy is large enough. Here stable means orbitally stable as solutions of the two-modes system obtained considering initial data with two Fourier components.
dc.description.departmentMathematics
dc.formatText
dc.format.extent24 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGhisi, M. (2003). Large energy simple modes for a class of Kirchhoff equations. <i>Electronic Journal of Differential Equations, 2003</i>(96), pp. 1-24.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13147
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectKirchhoff equations
dc.subjectOrbital stability
dc.subjectHamiltonian systems
dc.subjectPoincare map
dc.subjectKAM theory
dc.titleLarge energy simple modes for a class of Kirchhoff equations
dc.typeArticle

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