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dc.contributor.authorZhang, Xiaoying ( )
dc.contributor.authorChai, Shugen ( )
dc.contributor.authorWu, Jieqiong ( )
dc.date.accessioned2022-04-06T19:57:47Z
dc.date.available2022-04-06T19:57:47Z
dc.date.issued2017-03-21
dc.identifier.citationZhang, X., Chai, S., & Wu, J. (2017). Blow-up of solutions to a coupled quasilinear viscoelastic wave system with nonlinear damping and source. Electronic Journal of Differential Equations, 2017(78), pp. 1-11.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/15610
dc.description.abstractWe study the blow-up of the solution to a quasilinear viscoelastic wave system coupled by nonlinear sources. The system is of homogeneous Dirichlet boundary condition. The nonlinear damping and source are added to the equations. We assume that the relaxation functions are non-negative non-increasing functions and the initial energy is negative. The competition relations among the nonlinear principal parts are not constant functions, the viscoelasticity terms, dampings and sources are analyzed by using perturbed energy method. The blow-up result is proved under some conditions on the nonlinear principal parts, viscoelasticity terms, dampings and sources by a contradiction argument.en_US
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectBlow upen_US
dc.subjectQuasilinear wave systemen_US
dc.subjectViscoelasticityen_US
dc.titleBlow-up of solutions to a coupled quasilinear viscoelastic wave system with nonlinear damping and sourceen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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