Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/65693
PIRA download icon_1.1View/Download Full Text
DC FieldValueLanguage
dc.contributorDepartment of Applied Mathematics-
dc.creatorLi, D-
dc.creatorQiao, Z-
dc.creatorTang, T-
dc.date.accessioned2017-05-22T02:09:04Z-
dc.date.available2017-05-22T02:09:04Z-
dc.identifier.issn0022-0396-
dc.identifier.urihttp://hdl.handle.net/10397/65693-
dc.language.isoenen_US
dc.publisherAcademic Pressen_US
dc.rights© 2016 Elsevier Inc. All rights reserved.en_US
dc.rights© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/.en_US
dc.subjectEpitaxyen_US
dc.subjectGradient bounden_US
dc.subjectMaximum principleen_US
dc.subjectThin filmen_US
dc.titleGradient bounds for a thin film epitaxy equationen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage1720-
dc.identifier.epage1746-
dc.identifier.volume262-
dc.identifier.issue3-
dc.identifier.doi10.1016/j.jde.2016.10.025-
dcterms.abstractWe 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.-
dcterms.accessRightsopen access-
dcterms.bibliographicCitationJournal of differential equations, 5 Feb. 2017, v. 262, no. 3, p. 1720-1746-
dcterms.isPartOfJournal of differential equations-
dcterms.issued2017-02-05-
dc.identifier.isiWOS:000392463100021-
dc.identifier.scopus2-s2.0-85006042848-
dc.identifier.ros2016000261-
dc.identifier.rosgroupid2016000260-
dc.description.ros2016-2017 > Academic research: refereed > Publication in refereed journal-
dc.description.validate201804_a bcma-
dc.description.oaAccepted Manuscript-
dc.identifier.FolderNumbera0735-n06-
dc.identifier.SubFormID1208-
dc.description.fundingSourceRGC-
dc.description.fundingText15302214-
dc.description.pubStatusPublished-
Appears in Collections:Journal/Magazine Article
Files in This Item:
File Description SizeFormat 
a0735-n06_1208_thin_film_v3.pdfPre-Published version955.16 kBAdobe PDFView/Open
Open Access Information
Status open access
File Version Final Accepted Manuscript
Access
View full-text via PolyU eLinks SFX Query
Show simple item record

Page views

116
Last Week
1
Last month
Citations as of Apr 14, 2024

Downloads

37
Citations as of Apr 14, 2024

SCOPUSTM   
Citations

15
Last Week
0
Last month
Citations as of Apr 12, 2024

WEB OF SCIENCETM
Citations

14
Last Week
0
Last month
Citations as of Apr 11, 2024

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.