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dc.contributor.authorSun, F.
dc.contributor.authorLiu, Lishan
dc.contributor.authorWu, Yong Hong
dc.date.accessioned2018-05-18T08:00:58Z
dc.date.available2018-05-18T08:00:58Z
dc.date.created2018-05-18T00:23:19Z
dc.date.issued2018
dc.identifier.citationSun, F. and Liu, L. and Wu, Y.H. 2018. Blow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level. Applicable Analysis.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/68131
dc.identifier.doi10.1080/00036811.2018.1460812
dc.description.abstract

In this paper, we study a three-dimensional (3D) viscoelastic wave equation with nonlinear weak damping, supercritical sources and prescribed past history (Formula presented.), (Formula presented.): (Formula presented.) where the relaxation function k is monotone decreasing with (Formula presented.), (Formula presented.) and (Formula presented.). When the source is stronger than dissipations, i.e. (Formula presented.), we obtain some finite time blow-up results with positive initial energy. In particular, we obtain the existence of certain solutions which blow up in finite time for initial data at arbitrary energy level.

dc.publisherTaylor & Francis
dc.titleBlow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level
dc.typeJournal Article
dcterms.source.startPage1
dcterms.source.endPage20
dcterms.source.issn0003-6811
dcterms.source.titleApplicable Analysis
curtin.departmentSchool of Electrical Engineering, Computing and Mathematical Science (EECMS)
curtin.accessStatusFulltext not available


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