A semilinear parabolic boundary-value problem in bioreactors theory

dc.contributor.authorDrame, Abdou K.
dc.date.accessioned2021-05-14T19:15:04Z
dc.date.available2021-05-14T19:15:04Z
dc.date.issued2004-11-10
dc.description.abstractIn this paper, we analyze a dynamical model describing the behavior of bioreactors with diffusion. We obtain a convergence result for solutions of asymptotically autonomous semilinear parabolic equations to steady state solutions of the limiting equations. This allows us to establish the convergence of solutions of the initial value problem that describes the dynamics of the bioreactor.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationDrame, A. K. (2004). A semilinear parabolic boundary-value problem in bioreactors theory. <i>Electronic Journal of Differential Equations, 2004</i>(129), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13550
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectBioreactors
dc.subjectSemilinear equations
dc.subjectAsymptotically autonomous
dc.subjectOmega limit sets
dc.titleA semilinear parabolic boundary-value problem in bioreactors theory
dc.typeArticle

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