Two-phase flow problem coupled with mean curvature flow
Two-phase flow problem coupled with mean curvature flow
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DOI：
10.4171/ifb/279
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发表时间：
2011-02
影响因子：
1
通讯作者：
Chun Liu;Norifumi Sato;Y. Tonegawa
中科院分区：
文献类型：
--
作者：
Chun Liu;Norifumi Sato;Y. Tonegawa
证明了空间维为2和3的不可压缩粘性非牛顿两相流体流动广义解的存在性。相边界沿着流体流动加上其平均曲率移动，同时对流体施加表面张力。采用Galerkin法和相场法相结合的近似方案。
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.