Kinetic undercooling regularization of the Hele-Shaw problem with obstacles

被引：0

作者：

Rogosin, Sergei ^{[1
]}

机构：

[1] Belarusian State Univ, Dept Econ, Minsk, BELARUS

来源：

BULLETIN OF COMPUTATIONAL APPLIED MATHEMATICS | 2023年 / 11卷 / 01期

关键词：

Hele-Shaw flow; obstacles; Robin-Neumann function; kinetic undercooling condition; GREENS KERNELS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Preliminary results for an asymptotic analysis are provided for a new real-variable Hele-Shaw model with obstacles in the flow. The corresponding free boundary value problem is formulated in terms of two unknowns, parametrization of the free boundary and Green's type (or the Robin-Neumann) function for the Laplace equation subject to a mixed boundary value problem. Mixed boundary conditions are the Neumann condition on the boundary of obstacles and the third type (or the Robin) condition on the free boundary. The obstacles are either fixed in the flow or can move. To avoid, at least partly, the possible instability we incorporate the kinetic undercooling condition into the model.

引用

页数：13

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