Item Type: |
Conference or Workshop Item
|
Erschienen: |
2005 |
Editors: |
Chipot, M. ; Escher, J. |
Creators: |
Bothe, D. ; Prüss, J. ; Simonett, G. |
Type of entry: |
Bibliographie |
Title: |
Well-posedness of a two-phase flow with soluble surfactant |
Language: |
English |
Date: |
2005 |
Publisher: |
Birkhäuser |
Book Title: |
Nonlinear Elliptic and Parabolic Problems |
Alternative Abstract: |
Alternative abstract | Language |
---|
The presence of surfactants, ubiquitous at most °uid/liquid interfaces,
has a pronounced e®ect on the surface tension, hence on the stress balance at the
phase boundary: local variations of the capillary forces induce transport of momen-
tum along the interface { so-called Marangoni e®ects. The mathematical model gov-
erning the dynamics of such systems is studied for the case in which the surfactant
is soluble in one of the adjacent bulk phases. This leads to the two-phase balances
of mass and momentum, complemented by a species equation for both the interface
and the relevant bulk phase. Within the model, the motions of the surfactant and
of the adjacent bulk °uids are coupled by means of an interfacial momentum source
term that represents Marangoni stresses. Employing Lp-maximal regularity we ob-
tain well-posedness of this model for a certain initial con¯guration. The proof is
based on recent Lp-theory for two-phase °ows without surfactant. | English |
|
Uncontrolled Keywords: |
Navier-Stokes equations, surface tension, Marangoni forces, maximal regularity,
surface transport theorem |
Identification Number: |
doi:10.1007/3-7643-7385-7_3 |
Divisions: |
04 Department of Mathematics Zentrale Einrichtungen 04 Department of Mathematics > Mathematical Modelling and Analysis |
Date Deposited: |
12 Apr 2011 12:55 |
Last Modified: |
05 Jun 2023 12:58 |
PPN: |
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