Details
| Original language | English |
|---|---|
| Pages (from-to) | 539-555 |
| Number of pages | 17 |
| Journal | Nonlinear Differential Equations and Applications |
| Volume | 20 |
| Issue number | 3 |
| Publication status | Published - 9 May 2012 |
Abstract
In this paper we consider a strongly coupled fourth order parabolic system modelling the motion of two thin fluid layers in the presence of gravity and surface tension. In the non-degenerate case we prove existence and uniqueness of strong solutions and study the stability of the equilibria for various fluid-fluid configurations.
Keywords
- Degenerate system, Stability, Strong solutions, Strongly coupled, Thin film
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Nonlinear Differential Equations and Applications, Vol. 20, No. 3, 09.05.2012, p. 539-555.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Existence and stability of solutions for a strongly coupled system modelling thin fluid films
AU - Escher, Joachim
AU - Matioc, Bogdan-Vasile
PY - 2012/5/9
Y1 - 2012/5/9
N2 - In this paper we consider a strongly coupled fourth order parabolic system modelling the motion of two thin fluid layers in the presence of gravity and surface tension. In the non-degenerate case we prove existence and uniqueness of strong solutions and study the stability of the equilibria for various fluid-fluid configurations.
AB - In this paper we consider a strongly coupled fourth order parabolic system modelling the motion of two thin fluid layers in the presence of gravity and surface tension. In the non-degenerate case we prove existence and uniqueness of strong solutions and study the stability of the equilibria for various fluid-fluid configurations.
KW - Degenerate system
KW - Stability
KW - Strong solutions
KW - Strongly coupled
KW - Thin film
UR - http://www.scopus.com/inward/record.url?scp=84878411593&partnerID=8YFLogxK
U2 - 10.1007/s00030-012-0166-1
DO - 10.1007/s00030-012-0166-1
M3 - Article
AN - SCOPUS:84878411593
VL - 20
SP - 539
EP - 555
JO - Nonlinear Differential Equations and Applications
JF - Nonlinear Differential Equations and Applications
SN - 1021-9722
IS - 3
ER -