Existence and blow up in a system of wave equations with nonstandard nonlinearities

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dc.contributor.authorMessaoudi, Salim A.
dc.contributor.authorBouhoufani, Oulia
dc.contributor.authorIlhem, Hamchi
dc.contributor.authorAlahyane, Mohamed
dc.date.accessioned2022-10-31T18:04:07Z
dc.date.available2022-10-31T18:04:07Z
dc.date.issued2021-11-16
dc.description.abstractIn this article, we consider a coupled system of two nonlinear hyperbolic equations, where the exponents in the damping and source terms are variables. First, we prove a theorem of existence and uniqueness of weak solution, by using the Faedo Galerkin approximations and the Banach fixed point theorem. Then, using the energy method, we show that certain solutions with positive initial energy blow up in finite time. We also give some numerical applications to illustrate our theoretical results.
dc.description.departmentMathematics
dc.formatText
dc.format.extent33 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMessaoudi, S. A., Bouhoufani, O., Hamchi, I., & Alahyane, M. (2021). Existence and blow up in a system of wave equations with nonstandard nonlinearities. <i>Electronic Journal of Differential Equations, 2021</i>(91), pp. 1-33.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16273
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, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectHyperbolic system
dc.subjectExistence
dc.subjectBlow up
dc.subjectVariable exponents
dc.subjectNonlinear
dc.titleExistence and blow up in a system of wave equations with nonstandard nonlinearities
dc.typeArticle

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