半空中稳定 p-Stokes 系统的利乌维尔式问题

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2024-09-12 DOI:10.1016/j.jde.2024.09.014

Kyungkeun Kang , Michael Růžička

引用次数: 0

摘要

我们研究了半空间中稳定 p-Stokes 系统的 Liouville 问题。我们证明了 p-Stokes 系统中 p>1 的有界弱解在二维中消失。对于三维情况，只要 p>53，也会得出同样的结果。

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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Liouville type problem for the steady p-Stokes system in the half-space

We study the Liouville problem for the steady p-Stokes system in the half-space. We prove that a bounded weak solution of the p-Stokes system with $p > 1$ vanishes in two dimensions. For the three dimensional case, the same result is concluded, provided that $p > \frac{5}{3}$ .

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics