English

Two-phase flow problem coupled with mean curvature flow

Analysis of PDEs 2016-06-02 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1102.4054,
  title  = {Two-phase flow problem coupled with mean curvature flow},
  author = {Chun Liu and Norifumi Sato and Yoshihiro Tonegawa},
  journal= {arXiv preprint arXiv:1102.4054},
  year   = {2016}
}

Comments

14 pages

R2 v1 2026-06-21T17:28:56.367Z