Finite time blow-up for a thin-film equation with initial data at arbitrary energy level
© 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...
| Main Authors: | , , |
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| Format: | Journal Article |
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Academic Press
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/62532 |
| _version_ | 1848760868758618112 |
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| author | Sun, F. Liu, Lishan Wu, Yong Hong |
| author_facet | Sun, F. Liu, Lishan Wu, Yong Hong |
| author_sort | Sun, F. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 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. |
| first_indexed | 2025-11-14T10:22:37Z |
| format | Journal Article |
| id | curtin-20.500.11937-62532 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:22:37Z |
| publishDate | 2018 |
| publisher | Academic Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-625322018-02-01T05:57:29Z Finite time blow-up for a thin-film equation with initial data at arbitrary energy level Sun, F. Liu, Lishan Wu, Yong Hong © 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. 2018 Journal Article http://hdl.handle.net/20.500.11937/62532 10.1016/j.jmaa.2017.08.047 Academic Press restricted |
| spellingShingle | Sun, F. Liu, Lishan Wu, Yong Hong Finite time blow-up for a thin-film equation with initial data at arbitrary energy level |
| title | Finite time blow-up for a thin-film equation with initial data at arbitrary energy level |
| title_full | Finite time blow-up for a thin-film equation with initial data at arbitrary energy level |
| title_fullStr | Finite time blow-up for a thin-film equation with initial data at arbitrary energy level |
| title_full_unstemmed | Finite time blow-up for a thin-film equation with initial data at arbitrary energy level |
| title_short | Finite time blow-up for a thin-film equation with initial data at arbitrary energy level |
| title_sort | finite time blow-up for a thin-film equation with initial data at arbitrary energy level |
| url | http://hdl.handle.net/20.500.11937/62532 |