三维剪切增稠流体全局规则性的几何约束

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI:10.1007/s10255-024-1114-7

Jia-qi Yang

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引用次数: 0

摘要

我们考虑了涡度方向与三维剪切增稠流体的全局正则性之间的关系。研究表明，如果涡度方向相对于空间变量是 \(2 < p < {{11}\over 5}\)-Hölder 连续的，则整个空间的非牛顿不可压缩流体的弱解是强解。

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Geometric Constraints for Global Regularity of 3D Shear Thickening Fluids

We consider the relation between the direction of the vorticity and the global regularity of 3D shear thickening fluids. It is showed that a weak solution to the non-Newtonian incompressible fluid in the whole space is strong if the direction of the vorticity is \({{11 - 5p} \over 2}\)-Hölder continuous with respect to the space variables when \(2 < p < {{11} \over 5}\).

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.