Details
| Original language | English |
|---|---|
| Pages (from-to) | 1061-1080 |
| Number of pages | 20 |
| Journal | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 45 |
| Issue number | 8 |
| Publication status | Published - Sept 2001 |
| Externally published | Yes |
Abstract
Various mathematical models for flows in porous media was investigated. It is concerned with; flow governed by Darcy's law. The use of this law together with linear constitutive equations has lead to linear governing equations. The motion of this interface was always in a porous medium which was either completely saturated by the liquid or dry phases.
Keywords
- Exponential stability, Fully nonlinear parabolic equation, Hele-Shaw problem, Maximal regularity, Moving interface, Stefan problem
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 45, No. 8, 09.2001, p. 1061-1080.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Stability of the equilibria for spatially periodic flows in porous media
AU - Escher, Joachim
AU - Prokert, Georg
PY - 2001/9
Y1 - 2001/9
N2 - Various mathematical models for flows in porous media was investigated. It is concerned with; flow governed by Darcy's law. The use of this law together with linear constitutive equations has lead to linear governing equations. The motion of this interface was always in a porous medium which was either completely saturated by the liquid or dry phases.
AB - Various mathematical models for flows in porous media was investigated. It is concerned with; flow governed by Darcy's law. The use of this law together with linear constitutive equations has lead to linear governing equations. The motion of this interface was always in a porous medium which was either completely saturated by the liquid or dry phases.
KW - Exponential stability
KW - Fully nonlinear parabolic equation
KW - Hele-Shaw problem
KW - Maximal regularity
KW - Moving interface
KW - Stefan problem
UR - http://www.scopus.com/inward/record.url?scp=0035452578&partnerID=8YFLogxK
U2 - 10.1016/S0362-546X(99)00434-4
DO - 10.1016/S0362-546X(99)00434-4
M3 - Article
AN - SCOPUS:0035452578
VL - 45
SP - 1061
EP - 1080
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 8
ER -