广义非牛顿流体的Reynolds方程的计算及其在薄域中的渐近行为

IF 0.8 4区数学 Q2 MATHEMATICS

Georgian Mathematical Journal Pub Date : 2023-11-19 DOI:10.1515/gmj-2023-2090

Mohamed Dilmi, Aissa Benseghir, Mourad Dilmi, Hamid Benseridi

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引用次数: 0

摘要

研究了在薄域Ω ε {\Omega ^ {\varepsilon}}上具有非线性Tresca摩擦型的广义非牛顿流体的三维边值问题。研究了流体域一维趋近于零时的渐近行为。我们证明了流体的速度和压力的一些弱收敛性。然后得到二维区域的极限问题和具体的Reynolds方程。

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Calculation of Reynolds equation for the generalized non-Newtonian fluids and its asymptotic behavior in a thin domain

Three-dimensional boundary-value problem describing a generalized non-Newtonian fluid with nonlinear Tresca friction type in a thin domain Ω ε

{\Omega^{\varepsilon}}

are considered. We study the asymptotic behavior when one dimension of the fluid domain tends to zero. We prove some weak convergence of the velocity and the pressure of the fluid. Then the limit problem in two-dimensional domain and the specific Reynolds equation are obtained.

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来源期刊

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.