Garcke, Harald 
; Lam, Kei Fong ; Stinner, Björn
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Communications in Mathematical Sciences |
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| Verlag: | INT PRESS BOSTON, INC |
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| Ort der Veröffentlichung: | SOMERVILLE |
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| Band: | 12 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 8 |
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| Seitenbereich: | S. 1475-1522 |
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| Datum: | 2014 |
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| Institutionen: | Mathematik > Prof. Dr. Harald Garcke |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.4310/CMS.2014.v12.n8.a6 | DOI |
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| Stichwörter / Keywords: | PHASE-FIELD MODEL; FINITE-ELEMENT APPROXIMATION; PECLET MASS-TRANSPORT; ADSORPTION MECHANISMS; INSOLUBLE SURFACTANT; SPHERICAL-PARTICLES; ORDER-PARAMETER; DYNAMICS; KINETICS; CONVERGENCE; Two-phase flow; surfactant; phase field model; adsorption isotherm |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 61873 |
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Zusammenfassung
Phase field models for two-phase flow with a surfactant soluble in possibly both fluids are derived from balance equations and an energy inequality so that thermodynamic consistency is guaranteed. Via a formal asymptotic analysis, they are related to sharp interface models. Both cases of dynamic as well as instantaneous adsorption are covered. Flexibility with respect to the choice of bulk and ...
Zusammenfassung
Phase field models for two-phase flow with a surfactant soluble in possibly both fluids are derived from balance equations and an energy inequality so that thermodynamic consistency is guaranteed. Via a formal asymptotic analysis, they are related to sharp interface models. Both cases of dynamic as well as instantaneous adsorption are covered. Flexibility with respect to the choice of bulk and surface free energies allows us to realise various isotherms and relations of state between surface tension and surfactant. Some numerical simulations display the effectiveness of the presented approach.
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