Details
| Original language | English |
|---|---|
| Pages (from-to) | 1388-1398 |
| Number of pages | 11 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 36 |
| Issue number | 11 |
| Publication status | Published - 14 Sept 2012 |
Abstract
In this paper, we consider a mathematical model describing the two-phase interaction between water and mud in a water canal when the width of the canal is small compared with its depth. The mud is treated as a non-Newtonian fluid, and the interface between the mud and fluid is allowed to move under the influence of gravity and surface tension. We reduce the mathematical formulation, for small boundary and initial data, to a fully nonlocal and nonlinear problem and prove its local well-posedness by using abstract parabolic theory.
Keywords
- classical solution, non-Newtonian fluid, two-phase moving boundary problem
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
- Engineering(all)
- General Engineering
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In: Mathematical Methods in the Applied Sciences, Vol. 36, No. 11, 14.09.2012, p. 1388-1398.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the well-posedness of a mathematical model describing water-mud interaction
AU - Escher, Joachim
AU - Matioc, Anca Voichita
PY - 2012/9/14
Y1 - 2012/9/14
N2 - In this paper, we consider a mathematical model describing the two-phase interaction between water and mud in a water canal when the width of the canal is small compared with its depth. The mud is treated as a non-Newtonian fluid, and the interface between the mud and fluid is allowed to move under the influence of gravity and surface tension. We reduce the mathematical formulation, for small boundary and initial data, to a fully nonlocal and nonlinear problem and prove its local well-posedness by using abstract parabolic theory.
AB - In this paper, we consider a mathematical model describing the two-phase interaction between water and mud in a water canal when the width of the canal is small compared with its depth. The mud is treated as a non-Newtonian fluid, and the interface between the mud and fluid is allowed to move under the influence of gravity and surface tension. We reduce the mathematical formulation, for small boundary and initial data, to a fully nonlocal and nonlinear problem and prove its local well-posedness by using abstract parabolic theory.
KW - classical solution
KW - non-Newtonian fluid
KW - two-phase moving boundary problem
UR - http://www.scopus.com/inward/record.url?scp=84879412896&partnerID=8YFLogxK
U2 - 10.1002/mma.2692
DO - 10.1002/mma.2692
M3 - Article
AN - SCOPUS:84879412896
VL - 36
SP - 1388
EP - 1398
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
SN - 0170-4214
IS - 11
ER -