Abels, Helmut ; Marquardt, Andreas
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Discrete and Continuous Dynamical Systems - Series S |
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| Verlag: | AMER INST MATHEMATICAL SCIENCES-AIMS |
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| Ort der Veröffentlichung: | SPRINGFIELD |
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| Band: | 14 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 11 |
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| Seitenbereich: | S. 3973 |
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| Datum: | 2021 |
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| Institutionen: | Mathematik > Prof. Dr. Helmut Abels |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.3934/dcdss.2020467 | DOI |
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| Stichwörter / Keywords: | Two-phase flow; sharp interface limit; Cahn-Hilliard equation; free boundary problems; Mullins-Sekerka equation |
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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: | 55687 |
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Zusammenfassung
We study a linearized Mullins-Sekerka/Stokes system in a bounded domain with various boundary conditions. This system plays an important role to prove the convergence of a Stokes/Cahn-Hilliard system to its sharp interface limit, which is a Stokes/Mullins-Sekerka system, and to prove solvability of the latter system locally in time. We prove solvability of the linearized system in suitable ...
Zusammenfassung
We study a linearized Mullins-Sekerka/Stokes system in a bounded domain with various boundary conditions. This system plays an important role to prove the convergence of a Stokes/Cahn-Hilliard system to its sharp interface limit, which is a Stokes/Mullins-Sekerka system, and to prove solvability of the latter system locally in time. We prove solvability of the linearized system in suitable L-2-Sobolev spaces with the aid of a maximal regularity result for non-autonomous abstract linear evolution equations.
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