Global Existence and Temporal Decay for the 3D Magneto-Viscoelastic Fluids

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2026-02-02 DOI:10.1007/s10440-026-00772-y

Chengling Li, Qiao Liu

引用次数: 0

Abstract

This paper concerns the Cauchy problem of the 3D magneto-viscoelastic fluids. Using the pure energy method, we prove the global well-posedness of the classical solutions with smooth initial data of small \(L^{2}\) energy. Furthermore, under some additional assumptions on the initial data, we obtain the algebraic temporal decay rates of the higher-order spatial derivatives of solutions.

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三维磁粘弹性流体的全局存在性和时间衰减

本文研究三维磁粘弹性流体的柯西问题。利用纯能量方法，证明了具有小\(L^{2}\)能量光滑初始数据的经典解的全局适定性。此外，在初始数据的一些附加假设下，我们得到了解的高阶空间导数的代数时间衰减率。

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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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.