Asymptotic behavior for a fourth-order parabolic equation modeling thin film growth. (April 2018)
- Record Type:
- Journal Article
- Title:
- Asymptotic behavior for a fourth-order parabolic equation modeling thin film growth. (April 2018)
- Main Title:
- Asymptotic behavior for a fourth-order parabolic equation modeling thin film growth
- Authors:
- Qu, Chengyuan
Zhou, Wenshu
Liang, Bo - Abstract:
- Abstract: The main goal of this work is to study a fourth-order parabolic equation with nonstandard growth conditions. For non-positive initial energy J ( u 0 ) ≤ 0, by using the concavity method, we establish that weak solutions blow up in finite time. On the other hand, we also derive the blow-up time estimate and the asymptotic behavior of weak solutions.
- Is Part Of:
- Applied mathematics letters. Volume 78(2018)
- Journal:
- Applied mathematics letters
- Issue:
- Volume 78(2018)
- Issue Display:
- Volume 78, Issue 2018 (2018)
- Year:
- 2018
- Volume:
- 78
- Issue:
- 2018
- Issue Sort Value:
- 2018-0078-2018-0000
- Page Start:
- 141
- Page End:
- 146
- Publication Date:
- 2018-04
- Subjects:
- Fourth-order parabolic equation -- Nonstandard growth condition -- Asymptotic behavior
Applied mathematics -- Periodicals
519.05 - Journal URLs:
- http://www.sciencedirect.com/science/journal/08939659 ↗
http://www.elsevier.com/journals ↗ - DOI:
- 10.1016/j.aml.2017.11.015 ↗
- Languages:
- English
- ISSNs:
- 0893-9659
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 1573.880000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 5499.xml