Details
| Original language | English |
|---|---|
| Pages (from-to) | 119-137 |
| Number of pages | 19 |
| Journal | Interfaces and Free Boundaries |
| Volume | 11 |
| Issue number | 1 |
| Publication status | Published - 31 Mar 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.
Keywords
- Hele- Shaw flow, Non-Newtonian fluid, Nonlinear parabolic equation, Quasilinear elliptic equation
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Surfaces and Interfaces
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Interfaces and Free Boundaries, Vol. 11, No. 1, 31.03.2009, p. 119-137.
Research output: Contribution to journal › Article › Research › 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 -