三维非均匀不可压缩磁微极流体方程的全局强解

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-08-14 DOI:10.1016/j.nonrwa.2025.104477

Xia Ye , Yue Zhou , Mingxuan Zhu

引用次数: 0

摘要

本文研究了全空间R3中粘度随密度变化的磁微极流体方程的Cauchy问题。通过使用一些关键的时间衰减估计，我们建立了强解的全局存在性和唯一性，前提是初始速度适当小，而不要求初始密度小。

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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Global strong solutions to the 3D nonhomogeneous incompressible magneto-micropolar fluid equations with density-dependent viscosity

This paper concerns the Cauchy problem for magneto-micropolar fluid equations with density-dependent viscosity in the entire space

R^{3}

. By utilizing some crucial decay-in-time estimates, we establish the global existence and uniqueness of strong solutions, provided that the initial velocity is suitably small, without requiring smallness of the initial density.

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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.