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Yeressian, Karen (2015). On Varifold Solutions of Two-Phase Incompressible Viscous Flow with Surface Tension. Journal of mathematical fluid mechanics, 17(3):463-494.
In this paper using diffuse approximations the existence of a varifold solution to the two-phase Newtonian incompressible viscous flow problem is derived. On the free surface between the two phases we consider surface tension force. Also we prove that for axisymmetric, possibly with swirl, initial velocities and cylindrically symmetric initial volumes occupied by each fluid there exists a global in time axisymmetric, with swirl, solution.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | National licences > 142-005 |
| Dewey Decimal Classification: | Unspecified |
| Scopus Subject Areas: | Physical Sciences > Mathematical Physics
Physical Sciences > Condensed Matter Physics Physical Sciences > Computational Mathematics Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | Applied Mathematics, Computational Mathematics, Condensed Matter Physics, Mathematical Physics |
| Language: | English |
| Date: | 1 September 2015 |
| Deposited On: | 20 Oct 2021 16:24 |
| Last Modified: | 25 Jan 2025 02:42 |
| Publisher: | Springer |
| ISSN: | 1422-6928 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s00021-015-0217-6 |
Yeressian, Karen