Details
| Original language | English |
|---|---|
| Pages (from-to) | 717-734 |
| Number of pages | 18 |
| Journal | European Journal of Applied Mathematics |
| Volume | 19 |
| Issue number | 6 |
| Publication status | Published - Dec 2008 |
Abstract
In this paper we consider a 2π-periodic and two-dimensional Hele-Shaw flow describing the motion of a viscous, incompressible fluid. The free surface is moving under the influence of surface tension and gravity. The motion of the fluid is modelled using a modified version of Darcy's law for Stokesian fluids. The bottom of the cell is assumed to be impermeable. We prove the existence of a unique classical solution for a domain which is a small perturbation of a cylinder. Moreover, we identify the equilibria of the flow and study their stability.
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
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In: European Journal of Applied Mathematics, Vol. 19, No. 6, 12.2008, p. 717-734.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On periodic Stokesian Hele-Shaw flows with surface tension
AU - Escher, Joachim
AU - Matioc, Bogdan-Vasile
PY - 2008/12
Y1 - 2008/12
N2 - In this paper we consider a 2π-periodic and two-dimensional Hele-Shaw flow describing the motion of a viscous, incompressible fluid. The free surface is moving under the influence of surface tension and gravity. The motion of the fluid is modelled using a modified version of Darcy's law for Stokesian fluids. The bottom of the cell is assumed to be impermeable. We prove the existence of a unique classical solution for a domain which is a small perturbation of a cylinder. Moreover, we identify the equilibria of the flow and study their stability.
AB - In this paper we consider a 2π-periodic and two-dimensional Hele-Shaw flow describing the motion of a viscous, incompressible fluid. The free surface is moving under the influence of surface tension and gravity. The motion of the fluid is modelled using a modified version of Darcy's law for Stokesian fluids. The bottom of the cell is assumed to be impermeable. We prove the existence of a unique classical solution for a domain which is a small perturbation of a cylinder. Moreover, we identify the equilibria of the flow and study their stability.
UR - http://www.scopus.com/inward/record.url?scp=54049149365&partnerID=8YFLogxK
U2 - 10.1017/S0956792508007699
DO - 10.1017/S0956792508007699
M3 - Article
AN - SCOPUS:54049149365
VL - 19
SP - 717
EP - 734
JO - European Journal of Applied Mathematics
JF - European Journal of Applied Mathematics
SN - 0956-7925
IS - 6
ER -