Garcke, Harald 
; Wieland, Sandra
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | SIAM Journal on Mathematical Analysis |
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| Verlag: | SIAM PUBLICATIONS |
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| Ort der Veröffentlichung: | PHILADELPHIA |
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| Band: | 37 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 6 |
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| Seitenbereich: | S. 2025-2048 |
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| Datum: | 2006 |
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| Institutionen: | Mathematik > Prof. Dr. Harald Garcke |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1137/040617017 | DOI |
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| Stichwörter / Keywords: | CAHN-HILLIARD EQUATION; LUBRICATION APPROXIMATION; PARABOLIC EQUATION; EXISTENCE; EVOLUTION; BEHAVIOR; partial differential equations; degenerate parabolic equation; thin liquid film; surfactant spreading; free surface; fluid interface |
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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: | 70282 |
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Zusammenfassung
We consider the Navier-Stokes system for an incompressible fluid coupled with a convection-diffusion equation for surfactant molecules on the free surface. The lubrication approximation leads to a coupled system of parabolic equations, consisting of a degenerate fourth-order equation for the film height and a second-order equation for the surfactant concentration. A proof based on energy ...
Zusammenfassung
We consider the Navier-Stokes system for an incompressible fluid coupled with a convection-diffusion equation for surfactant molecules on the free surface. The lubrication approximation leads to a coupled system of parabolic equations, consisting of a degenerate fourth-order equation for the film height and a second-order equation for the surfactant concentration. A proof based on energy estimates shows the existence of global weak solutions which in addition fulfill an integral inequality (entropy condition) which ensures positivity properties for the solution.
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