Behaviors of the Non-Viscous Oldroyd-B Systems Without Damping Mechanism

IF 2 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2026-09-25 Epub Date: 2026-07-22 DOI:10.1002/mma.70894

Zhen Li

引用次数: 0

Abstract

This paper is mainly concerned with the global well-posedness of the incompressible Oldroyd-B model without damping mechanism. More precisely, by fully exploiting the structure of the system and deriving some new refined estimates for the velocity, we demonstrate the existence of global solution for a class of partially large initial data in the critical Besov space.

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无阻尼机制的无粘性old - yd- b体系的行为

本文主要研究无阻尼机构的不可压缩oldyd - b模型的全局适定性。更准确地说，通过充分利用系统的结构和对速度的一些新的改进估计，我们证明了一类部分大初始数据在临界Besov空间中的整体解的存在性。

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

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.