Two-phase flow problem coupled with mean curvature flow

Details Two-phase flow problem coupled with mean curvature flow Two-phase flow problem coupled with mean curvature flow

2011-02-20

arxiv.org/abs/1102.4054v1

Mathematics

Analysis of PDEs

14 pages

Scientific paper

We prove the existence of generalized solution for incompressible and viscous
non-Newtonian two-phase fluid flow for spatial dimension 2 and 3. The phase
boundary moves along with the fluid flow plus its mean curvature while exerting
surface tension force to the fluid. An approximation scheme combining the
Galerkin method and the phase field method is adopted.

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