Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 119-137 |
| Seitenumfang | 19 |
| Fachzeitschrift | Interfaces and Free Boundaries |
| Jahrgang | 11 |
| Ausgabenummer | 1 |
| Publikationsstatus | Veröffentlicht - 31 März 2009 |
Abstract
This paper is concerned with the motion of an incompressible, viscous fluid in a Hele-Shaw cell. The free surface is moving under the influence of gravity and the fluid is modelled using a modified Darcy law for Stokesian fluids. We combine results from the theory of quasilinear elliptic equations, analytic semigroups and Fourier multipliers to prove existence of a unique classical solution to the corresponding moving boundary problem.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Oberflächen und Grenzflächen
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in: Interfaces and Free Boundaries, Jahrgang 11, Nr. 1, 31.03.2009, S. 119-137.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - A moving boundary problem for periodic Stokesian Hele-Shaw flows
AU - Escher, Joachim
AU - Matioc, Bogdan-Vasile
PY - 2009/3/31
Y1 - 2009/3/31
N2 - This paper is concerned with the motion of an incompressible, viscous fluid in a Hele-Shaw cell. The free surface is moving under the influence of gravity and the fluid is modelled using a modified Darcy law for Stokesian fluids. We combine results from the theory of quasilinear elliptic equations, analytic semigroups and Fourier multipliers to prove existence of a unique classical solution to the corresponding moving boundary problem.
AB - This paper is concerned with the motion of an incompressible, viscous fluid in a Hele-Shaw cell. The free surface is moving under the influence of gravity and the fluid is modelled using a modified Darcy law for Stokesian fluids. We combine results from the theory of quasilinear elliptic equations, analytic semigroups and Fourier multipliers to prove existence of a unique classical solution to the corresponding moving boundary problem.
KW - Hele- Shaw flow
KW - Non-Newtonian fluid
KW - Nonlinear parabolic equation
KW - Quasilinear elliptic equation
UR - http://www.scopus.com/inward/record.url?scp=73949124799&partnerID=8YFLogxK
U2 - 10.4171/IFB/205
DO - 10.4171/IFB/205
M3 - Article
AN - SCOPUS:73949124799
VL - 11
SP - 119
EP - 137
JO - Interfaces and Free Boundaries
JF - Interfaces and Free Boundaries
SN - 1463-9963
IS - 1
ER -