Exponential attractors for a Cahn-Hilliard model in bounded domains with permeable walls

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dc.contributor.authorGal, Ciprian G.
dc.date.accessioned2021-07-21T14:45:00Z
dc.date.available2021-07-21T14:45:00Z
dc.date.issued2006-11-16
dc.description.abstractIn a previous article [7], we proposed a model of phase separation in a binary mixture confined to a bounded region which may be contained within porous walls. The boundary conditions were derived from a mass conservation law and variational methods. In the present paper, we study the problem further. Using a Faedo-Galerkin method, we obtain the existence and uniqueness of a global solution to our problem, under more general assumptions than those in [7]. We then study its asymptotic behavior and prove the existence of an exponential attractor (and thus of a global attractor) with finite dimension.
dc.description.departmentMathematics
dc.formatText
dc.format.extent23 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGal, C. G. (2006). Exponential attractors for a Cahn-Hilliard model in bounded domains with permeable walls. Electronic Journal of Differential Equations, 2006(143), pp. 1-23.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14016
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectPhase separation
dc.subjectCahn-Hilliard equations
dc.subjectDynamic boundary conditions
dc.subjectExponential attractors
dc.subjectGlobal attractors
dc.subjectLaplace-Beltrami differential operators
dc.titleExponential attractors for a Cahn-Hilliard model in bounded domains with permeable walls
dc.typeArticle

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