ON THE UNIQUENESS OF THE CLASSICAL SOLUTION OF THE FINGERING PROBLEM IN A HELE-SHAW CELL WITH SURFACE TENSION

IF 0.5 4区工程技术 Q4 MECHANICS

Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI:10.1134/S002189442405016X

A. Tani, H. Tani

引用次数: 0

Abstract

The existence of a classical solution was established for a one-phase radial viscous fingering problem in a Hele-Shaw cell under surface tension (original problem) by means of parabolic regularization for a certain subsequence \(\{\varepsilon_n\}_{n \in \mathbb{N}}\), \(\varepsilon_n>0\). In this paper, we prove the uniqueness of the classical solution to the original problem with the use of parabolic regularization for the full sequence of the parameter \(\{\varepsilon\}\), \(\varepsilon>0\).

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关于具有表面张力的黑尔-肖细胞中指法问题经典解的唯一性

利用一定序列的抛物正则化方法，建立了表面张力作用下Hele-Shaw单元中单相径向粘性指法问题（原问题）经典解的存在性\(\{\varepsilon_n\}_{n \in \mathbb{N}}\), \(\varepsilon_n>0\)。本文利用抛物正则化方法，对参数\(\{\varepsilon\}\), \(\varepsilon>0\)的全序列证明了原问题经典解的唯一性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Applied Mechanics and Technical Physics 物理-力学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

4-8 weeks

期刊介绍： Journal of Applied Mechanics and Technical Physics is a journal published in collaboration with the Siberian Branch of the Russian Academy of Sciences. The Journal presents papers on fluid mechanics and applied physics. Each issue contains valuable contributions on hypersonic flows; boundary layer theory; turbulence and hydrodynamic stability; free boundary flows; plasma physics; shock waves; explosives and detonation processes; combustion theory; multiphase flows; heat and mass transfer; composite materials and thermal properties of new materials, plasticity, creep, and failure.