Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 73-92 |
| Seitenumfang | 20 |
| Fachzeitschrift | Nonlinearity |
| Jahrgang | 25 |
| Ausgabenummer | 1 |
| Publikationsstatus | Veröffentlicht - 29 Nov. 2011 |
Abstract
In this paper we consider the evolution of two fluid phases in a porous medium. The fluids are separated from each other and also the wetting phase from air by interfaces which evolve in time. We reduce the problem to an abstract evolution equation. A generalized Rayleigh-Taylor condition characterizes the parabolicity regime of the problem and allows us to establish a general well-posedness result and to study stability properties of flat steady states. When considering surface tension effects at the interface between the fluids and if the more dense fluid lies above, we find bifurcating finger-shaped equilibria which are all unstable.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Statistische und nichtlineare Physik
- Mathematik (insg.)
- Mathematische Physik
- Physik und Astronomie (insg.)
- Allgemeine Physik und Astronomie
- Mathematik (insg.)
- Angewandte Mathematik
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in: Nonlinearity, Jahrgang 25, Nr. 1, 29.11.2011, S. 73-92.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - A generalized Rayleigh-Taylor condition for the Muskat problem
AU - Escher, Joachim
AU - Matioc, Anca Voichita
AU - Matioc, Bogdan-Vasile
PY - 2011/11/29
Y1 - 2011/11/29
N2 - In this paper we consider the evolution of two fluid phases in a porous medium. The fluids are separated from each other and also the wetting phase from air by interfaces which evolve in time. We reduce the problem to an abstract evolution equation. A generalized Rayleigh-Taylor condition characterizes the parabolicity regime of the problem and allows us to establish a general well-posedness result and to study stability properties of flat steady states. When considering surface tension effects at the interface between the fluids and if the more dense fluid lies above, we find bifurcating finger-shaped equilibria which are all unstable.
AB - In this paper we consider the evolution of two fluid phases in a porous medium. The fluids are separated from each other and also the wetting phase from air by interfaces which evolve in time. We reduce the problem to an abstract evolution equation. A generalized Rayleigh-Taylor condition characterizes the parabolicity regime of the problem and allows us to establish a general well-posedness result and to study stability properties of flat steady states. When considering surface tension effects at the interface between the fluids and if the more dense fluid lies above, we find bifurcating finger-shaped equilibria which are all unstable.
UR - http://www.scopus.com/inward/record.url?scp=84858405608&partnerID=8YFLogxK
U2 - 10.1088/0951-7715/25/1/73
DO - 10.1088/0951-7715/25/1/73
M3 - Article
AN - SCOPUS:84858405608
VL - 25
SP - 73
EP - 92
JO - Nonlinearity
JF - Nonlinearity
SN - 0951-7715
IS - 1
ER -