Abels, Helmut ; Terasawa, Yutaka
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| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Discrete and Continuous Dynamical Systems - S |
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| Verlag: | AMER INST MATHEMATICAL SCIENCES-AIMS |
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| Ort der Veröffentlichung: | SPRINGFIELD |
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| Band: | 15 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 8 |
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| Seitenbereich: | S. 1871 |
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| Datum: | 2022 |
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| Institutionen: | Mathematik > Prof. Dr. Helmut Abels |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.3934/dcdss.2022117 | DOI |
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| Stichwörter / Keywords: | CAHN-HILLIARD EQUATION; INCOMPRESSIBLE FLUIDS; WEAK SOLUTIONS; EXISTENCE; Two-phase flow; Navier-Stokes equation; diffuse interface model; mix-tures of viscous fluids; Cahn-Hilliard equation; non-local operators |
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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: | 57045 |
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Zusammenfassung
We prove convergence of suitable subsequences of weak solutions of a diffuse interface model for the two-phase flow of incompressible fluids with different densities with a nonlocal Cahn-Hilliard equation to weak solutions of the corresponding system with a standard ???local??? Cahn-Hilliard equation. The analysis is done in the case of a sufficiently smooth bounded domain with no-slip boundary ...
Zusammenfassung
We prove convergence of suitable subsequences of weak solutions of a diffuse interface model for the two-phase flow of incompressible fluids with different densities with a nonlocal Cahn-Hilliard equation to weak solutions of the corresponding system with a standard ???local??? Cahn-Hilliard equation. The analysis is done in the case of a sufficiently smooth bounded domain with no-slip boundary condition for the velocity and Neumann boundary conditions for the Cahn-Hilliard equation. The proof is based on the corresponding result in the case of a single Cahn-Hilliard equation and compactness arguments used in the proof of existence of weak solutions for the diffuse interface model.
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