NDLI: On Varifold Solutions of Two-Phase Incompressible Viscous Flow with Surface Tension

Content Provider	Springer Nature Link
Author	Yeressian, Karen
Copyright Year	2015
Abstract	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.
Ending Page	494
Page Count	32
Starting Page	463
File Format	PDF
ISSN	14226928
e-ISSN	14226952
Journal	Journal of Mathematical Fluid Mechanics
Issue Number	3
Volume Number	17
Language	English
Publisher	Springer Basel
Publisher Date	2015-06-25
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Axisymmetric with swirl incompressible viscous flow Fluid- and Aerodynamics PDEs in connection with fluid mechanics two-phase flow Classical Continuum Physics surface-tension free surface Rotating fluids Mathematical Methods in Physics varifold solutions Capillarity (surface tension) Other free-boundary flows; Hele-Shaw flows Navier-Stokes equations
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mathematical Physics Condensed Matter Physics Computational Mathematics

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On Varifold Solutions of Two-Phase Incompressible Viscous Flow with Surface Tension