Finite time blow-up for a thin-film 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 | 2018-02-01T05:24:03Z | |
| dc.date.available | 2018-02-01T05:24:03Z | |
| dc.date.created | 2018-02-01T04:49:24Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Sun, F. and Liu, L. and Wu, Y.H. 2018. Finite time blow-up for a thin-film equation with initial data at arbitrary energy level. Journal of Mathematical Analysis and Applications. 458 (1): pp. 9-20. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/62532 | |
| dc.identifier.doi | 10.1016/j.jmaa.2017.08.047 | |
| dc.description.abstract |
© 2017 In this paper, we consider the initial boundary value problem for a class of thin-film equations in R n with a p-Laplace term and a nonlocal source term |u| q-2 u-[Formula presented]? O |u| q-2 udx. We prove that there exist weak solutions for the problem with arbitrarily initial energy that blow up in finite time. We also obtain the upper bounds for the blow-up time. | |
| dc.publisher | Academic Press | |
| dc.title | Finite time blow-up for a thin-film equation with initial data at arbitrary energy level | |
| dc.type | Journal Article | |
| dcterms.source.volume | 458 | |
| dcterms.source.number | 1 | |
| dcterms.source.startPage | 9 | |
| dcterms.source.endPage | 20 | |
| dcterms.source.issn | 0022-247X | |
| dcterms.source.title | Journal of Mathematical Analysis and Applications | |
| curtin.department | School of Electrical Engineering, Computing and Mathematical Science (EECMS) | |
| curtin.accessStatus | Fulltext not available |
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