Matioc, Bogdan–Vasile 
; Prokert, Georg
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |
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| Verlag: | CAMBRIDGE UNIV PRESS |
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| Ort der Veröffentlichung: | CAMBRIDGE |
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| Band: | 151 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 6 |
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| Seitenbereich: | S. 1815-1845 |
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| Datum: | 2021 |
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| Institutionen: | Mathematik |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1017/prm.2020.82 | DOI |
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| Stichwörter / Keywords: | MUSKAT PROBLEM; INTERFACE; REGULARITY; Stokes problem; two-phase; singular integrals; contour integral formulation |
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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: | 55803 |
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Zusammenfassung
We study the two-phase Stokes flow driven by surface tension with two fluids of equal viscosity, separated by an asymptotically flat interface with graph geometry. The flow is assumed to be two-dimensional with the fluids filling the entire space. We prove well-posedness and parabolic smoothing in Sobolev spaces up to critical regularity. The main technical tools are an analysis of nonlinear ...
Zusammenfassung
We study the two-phase Stokes flow driven by surface tension with two fluids of equal viscosity, separated by an asymptotically flat interface with graph geometry. The flow is assumed to be two-dimensional with the fluids filling the entire space. We prove well-posedness and parabolic smoothing in Sobolev spaces up to critical regularity. The main technical tools are an analysis of nonlinear singular integral operators arising from the hydrodynamic single-layer potential and abstract results on nonlinear parabolic evolution equations.
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