剪切增稠非牛顿流体弱溶液的serrin型条件

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-09-19 DOI:10.1016/j.nonrwa.2025.104510

Hyeong-Ohk Bae , Jörg Wolf

引用次数: 0

摘要

本文考虑了不可压缩流体剪切增稠方程的一个弱解。证明了速度场u在serrin型条件下具有较高的可积性，从而保证了u是强的。特别地，我们证明了对于幂律q≥115，任何弱解都是强解。

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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Serrin-type condition for weak solutions to the shear thickening non-Newtonian fluid

In the present paper we consider a weak solution to the equations of shear thickening incompressible fluid. We prove that under a Serrin-type condition imposed on the velocity field

u

, the field enjoys a higher integrability properties, which ensures that

u

is strong. In particular, we prove that for powers law

q \geq \frac{11}{5}

any weak solution is strong.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.