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dc.contributor.authorSonner, S.
dc.contributor.authorEfendiev, M.A.
dc.contributor.authorEberl, H.J.
dc.date.accessioned2016-06-13T13:33:50Z
dc.date.available2016-06-13T13:33:50Z
dc.date.issued2015-12-31
dc.identifier.issn0170-4214
dc.identifier.urihttp://hdl.handle.net/20.500.11824/254
dc.description.abstractBacterial biofilms are microbial depositions on immersed surfaces. Their mathematical description leads to degenerate diffusion-reaction equations with two non-Fickian effects: (i) a porous medium equation like degeneracy where the biomass density vanishes and (ii) a super-diffusion singularity if the biomass density reaches its threshold density. In the case of multispecies interactions, several such equations are coupled, both in the reaction terms and in the nonlinear diffusion operator. In this paper, we generalize previous work on existence and uniqueness of solutions of this type of models and give a general, relatively easy to apply criterion for well-posedness. The use of the criterion is illustrated in several examples from the biofilm modeling literature.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectantibiotic disinfection
dc.subjectbiofilm
dc.subjectdegenerate reaction-diffusion systems
dc.subjectprobiotic control
dc.subjectquorum sensing
dc.subjectwell-posedness
dc.titleOn the well-posedness of mathematical models for multicomponent biofilms
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1002/mma.3315
dc.relation.publisherversionhttp://onlinelibrary.wiley.com/doi/10.1002/mma.3315/abstract
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/246775en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleMathematical Methods in the Applied Sciencesen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España