Publication: On Varifold Solutions of Two-Phase Incompressible Viscous Flow with Surface Tension
On Varifold Solutions of Two-Phase Incompressible Viscous Flow with Surface Tension
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Yeressian, K. (2015). On Varifold Solutions of Two-Phase Incompressible Viscous Flow with Surface Tension. Journal of Mathematical Fluid Mechanics, 17(3), 463–494. https://doi.org/10.1007/s00021-015-0217-6
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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.
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- Yeressian, Karen
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Yeressian, K. (2015). On Varifold Solutions of Two-Phase Incompressible Viscous Flow with Surface Tension. Journal of Mathematical Fluid Mechanics, 17(3), 463–494. https://doi.org/10.1007/s00021-015-0217-6
