Matches in SemOpenAlex for { <https://semopenalex.org/work/W4301465488> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W4301465488 abstract "By introducing height dependency in the surface energy density, we propose a novel regularized variational model to simulate wetting/dewetting problems. The regularized model leads to the appearance of a precursor layer which covers the bare substrate, with the precursor height depending on the regularization parameter $varepsilon$. The new model enjoys lots of advantages in analysis and imulations. With the help of the precursor layer, the regularized model is naturally extended to a larger domain than that of the classical sharp-interface model, and thus can be solved in a fixed domain. There is no need to explicitly track the contact line motion, and difficulties arising from free boundary problems can be avoided. In addition, topological change events can be automatically captured. Under some mild and physically meaningful conditions, we show the positivity-preserving property of the minimizers of the new model. By using asymptotic analysis and $Gamma$-convergence, we investigate the convergence relations between the new regularized model and the classical sharp-interface model. Finally, numerical results are provided to validate our theoretical analysis, as well as the accuracy and efficiency of the new regularized model." @default.
- W4301465488 created "2022-10-05" @default.
- W4301465488 creator A5045839676 @default.
- W4301465488 creator A5055431348 @default.
- W4301465488 creator A5068047224 @default.
- W4301465488 date "2022-08-17" @default.
- W4301465488 modified "2023-09-24" @default.
- W4301465488 title "A regularized model for wetting/dewetting problems: asymptotic analysis and $Gamma$-convergence" @default.
- W4301465488 doi "https://doi.org/10.48550/arxiv.2208.08066" @default.
- W4301465488 hasPublicationYear "2022" @default.
- W4301465488 type Work @default.
- W4301465488 citedByCount "0" @default.
- W4301465488 crossrefType "posted-content" @default.
- W4301465488 hasAuthorship W4301465488A5045839676 @default.
- W4301465488 hasAuthorship W4301465488A5055431348 @default.
- W4301465488 hasAuthorship W4301465488A5068047224 @default.
- W4301465488 hasBestOaLocation W43014654881 @default.
- W4301465488 hasConcept C121332964 @default.
- W4301465488 hasConcept C134306372 @default.
- W4301465488 hasConcept C134514944 @default.
- W4301465488 hasConcept C149782125 @default.
- W4301465488 hasConcept C154945302 @default.
- W4301465488 hasConcept C162324750 @default.
- W4301465488 hasConcept C2776135515 @default.
- W4301465488 hasConcept C2777303404 @default.
- W4301465488 hasConcept C2780695315 @default.
- W4301465488 hasConcept C28826006 @default.
- W4301465488 hasConcept C33923547 @default.
- W4301465488 hasConcept C36503486 @default.
- W4301465488 hasConcept C41008148 @default.
- W4301465488 hasConcept C50522688 @default.
- W4301465488 hasConcept C87525152 @default.
- W4301465488 hasConcept C97355855 @default.
- W4301465488 hasConceptScore W4301465488C121332964 @default.
- W4301465488 hasConceptScore W4301465488C134306372 @default.
- W4301465488 hasConceptScore W4301465488C134514944 @default.
- W4301465488 hasConceptScore W4301465488C149782125 @default.
- W4301465488 hasConceptScore W4301465488C154945302 @default.
- W4301465488 hasConceptScore W4301465488C162324750 @default.
- W4301465488 hasConceptScore W4301465488C2776135515 @default.
- W4301465488 hasConceptScore W4301465488C2777303404 @default.
- W4301465488 hasConceptScore W4301465488C2780695315 @default.
- W4301465488 hasConceptScore W4301465488C28826006 @default.
- W4301465488 hasConceptScore W4301465488C33923547 @default.
- W4301465488 hasConceptScore W4301465488C36503486 @default.
- W4301465488 hasConceptScore W4301465488C41008148 @default.
- W4301465488 hasConceptScore W4301465488C50522688 @default.
- W4301465488 hasConceptScore W4301465488C87525152 @default.
- W4301465488 hasConceptScore W4301465488C97355855 @default.
- W4301465488 hasLocation W43014654881 @default.
- W4301465488 hasOpenAccess W4301465488 @default.
- W4301465488 hasPrimaryLocation W43014654881 @default.
- W4301465488 hasRelatedWork W1853274813 @default.
- W4301465488 hasRelatedWork W1983819212 @default.
- W4301465488 hasRelatedWork W2031543692 @default.
- W4301465488 hasRelatedWork W2081018116 @default.
- W4301465488 hasRelatedWork W2093653080 @default.
- W4301465488 hasRelatedWork W2158051631 @default.
- W4301465488 hasRelatedWork W2162878269 @default.
- W4301465488 hasRelatedWork W2266660304 @default.
- W4301465488 hasRelatedWork W2803397184 @default.
- W4301465488 hasRelatedWork W2906151088 @default.
- W4301465488 isParatext "false" @default.
- W4301465488 isRetracted "false" @default.
- W4301465488 workType "article" @default.