Blow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level
| dc.contributor.author | Sun, F. | |
| dc.contributor.author | Liu, Lishan | |
| dc.contributor.author | Wu, Yong Hong | |
| dc.date.accessioned | 2018-05-18T08:00:58Z | |
| dc.date.available | 2018-05-18T08:00:58Z | |
| dc.date.created | 2018-05-18T00:23:19Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Sun, 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. 98 (12): pp. 2308-2327. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/68131 | |
| dc.identifier.doi | 10.1080/00036811.2018.1460812 | |
| 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.publisher | Taylor & Francis | |
| dc.title | Blow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level | |
| dc.type | Journal Article | |
| dcterms.source.startPage | 1 | |
| dcterms.source.endPage | 20 | |
| dcterms.source.issn | 0003-6811 | |
| dcterms.source.title | Applicable Analysis | |
| curtin.department | School of Electrical Engineering, Computing and Mathematical Science (EECMS) | |
| curtin.accessStatus | Fulltext not available |
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