Existence of weak solutions to a nonlinear reaction-diffusion system with singular sources

dc.contributor.authorde Bonis, Ida
dc.contributor.authorMuntean, Adrian
dc.date.accessioned2022-06-10T18:38:12Z
dc.date.available2022-06-10T18:38:12Z
dc.date.issued2017-09-06
dc.description.abstractWe discuss the existence of a class of weak solutions to a nonlinear parabolic system of reaction-diffusion type endowed with singular production terms by reaction. The singularity is due to a potential occurrence of quenching localized to the domain boundary. The kind of quenching we have in mind is due to a twofold contribution: (i) the choice of boundary conditions, modeling in our case the contact with an infinite reservoir filled with ready-to-react chemicals and (ii) the use of a particular nonlinear, non-Lipschitz structure of the reaction kinetics. Our working techniques use fine energy estimates for approximating non-singular problems and uniform control on the set where singularities are localizing.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationde Bonis, I., & Muntean, A. (2017). Existence of weak solutions to a nonlinear reaction-diffusion system with singular sources. <i>Electronic Journal of Differential Equations, 2017</i>(202), pp. 1-16.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15896
dc.language.isoen
dc.publisherTexas 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, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectReaction-diffusion systems
dc.subjectSingular parabolic equations
dc.subjectWeak solutions
dc.titleExistence of weak solutions to a nonlinear reaction-diffusion system with singular sources
dc.typeArticle

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