Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Transport of interfaces with surface tension by 2D viscous flows

Full text
Author(s):
Ambrose, David M. [1] ; Lopes Filho, Milton C. [2] ; Nussenzveig Lopes, Helena J. [2] ; Strauss, Walter A. [3]
Total Authors: 4
Affiliation:
[1] Drexel Univ, Dept Math, Philadelphia, PA 19104 - USA
[2] Univ Estadual Campinas, UNICAMP, IMECC, Dept Matemat, BR-13083970 Campinas, SP - Brazil
[3] Brown Univ, Dept Math, Providence, RI 02912 - USA
Total Affiliations: 3
Document type: Journal article
Source: INTERFACES AND FREE BOUNDARIES; v. 12, n. 1, p. 23-44, 2010.
Web of Science Citations: 0
Abstract

We consider the problem of finding a global weak solution for two-dimensional, incompressible viscous flow on a torus, containing a surface-tension bearing curve transported by the flow. This is the simplest case of a class of two-phase flows considered by Plotnikov in {[}16] and Abels in {[}1]. Our work complements Abels' analysis by examining this special case in detail. We construct a family of approximations and show that the limit of these approximations satisfies, globally in time, an incomplete set of equations in the weak sense. In addition, we examine criteria for closure of the limit system, we find conditions which imply nontrivial dependence of the limiting solution on the surface tension parameter, and we obtain a new system of evolution equations which models our flow-interface problem, in a form that may be useful for further analysis and for numerical simulations. (AU)

FAPESP's process: 07/51490-7 - Mathematical aspects of incompressible fluid dynamics
Grantee:Milton da Costa Lopes Filho
Support Opportunities: Research Projects - Thematic Grants