On a higher order convective Cahn-Hilliard type equation
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1582 | |
dc.contributor.author | Korzec, Maciek Dominik | |
dc.contributor.author | Rybka, Piotr | |
dc.date.accessioned | 2016-03-24T17:39:02Z | |
dc.date.available | 2019-06-28T08:08:20Z | |
dc.date.issued | 2010 | |
dc.description.abstract | A convective Cahn-Hilliard type equation of sixth order that describes the faceting of a growing surface is considered with periodic boundary conditions. By using a Galerkin approach the existence of weak solutions to this sixth order partial differential equation is established in $L^2(0,T; dot H^3_per)$. Furthermore stronger regularity results have been derived and these are used to prove uniqueness of the solutions. Additionally a numerical study shows that solutions behave similarly as for the better known convective Cahn-Hilliard equation. The transition from coarsening to roughening is analyzed, indicating that the characteristic length scale decreases logarithmically with increasing deposition rate | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/2784 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2574 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Existence theory | eng |
dc.subject.other | global weak solutions | eng |
dc.subject.other | Galerkin approach | eng |
dc.subject.other | uniqueness | eng |
dc.subject.other | small-slope approximation | eng |
dc.subject.other | anisotropic surface energy | eng |
dc.subject.other | coarsening | eng |
dc.title | On a higher order convective Cahn-Hilliard type equation | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- 665345038.pdf
- Size:
- 288.45 KB
- Format:
- Adobe Portable Document Format
- Description: