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- Publisher Website: 10.1016/j.jde.2016.10.025
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Article: Gradient bounds for a thin film epitaxy equation
Title | Gradient bounds for a thin film epitaxy equation |
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Authors | |
Keywords | Epitaxy Gradient bound Maximum principle Thin film |
Issue Date | 2017 |
Citation | Journal of Differential Equations, 2017, v. 262, n. 3, p. 1720-1746 How to Cite? |
Abstract | We consider a gradient flow modeling the epitaxial growth of thin films with slope selection. The surface height profile satisfies a nonlinear diffusion equation with biharmonic dissipation. We establish optimal local and global wellposedness for initial data with critical regularity. To understand the mechanism of slope selection and the dependence on the dissipation coefficient, we exhibit several lower and upper bounds for the gradient of the solution in physical dimensions d≤3. |
Persistent Identifier | http://hdl.handle.net/10722/327126 |
ISSN | 2023 Impact Factor: 2.4 2023 SCImago Journal Rankings: 2.046 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, Dong | - |
dc.contributor.author | Qiao, Zhonghua | - |
dc.contributor.author | Tang, Tao | - |
dc.date.accessioned | 2023-03-31T05:28:59Z | - |
dc.date.available | 2023-03-31T05:28:59Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Journal of Differential Equations, 2017, v. 262, n. 3, p. 1720-1746 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/10722/327126 | - |
dc.description.abstract | We consider a gradient flow modeling the epitaxial growth of thin films with slope selection. The surface height profile satisfies a nonlinear diffusion equation with biharmonic dissipation. We establish optimal local and global wellposedness for initial data with critical regularity. To understand the mechanism of slope selection and the dependence on the dissipation coefficient, we exhibit several lower and upper bounds for the gradient of the solution in physical dimensions d≤3. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Differential Equations | - |
dc.subject | Epitaxy | - |
dc.subject | Gradient bound | - |
dc.subject | Maximum principle | - |
dc.subject | Thin film | - |
dc.title | Gradient bounds for a thin film epitaxy equation | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.jde.2016.10.025 | - |
dc.identifier.scopus | eid_2-s2.0-85006042848 | - |
dc.identifier.volume | 262 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 1720 | - |
dc.identifier.epage | 1746 | - |
dc.identifier.eissn | 1090-2732 | - |
dc.identifier.isi | WOS:000392463100021 | - |