一类非线性分数阶瑞利-斯托克斯问题的适定性和爆破结果

IF 3.2 1区数学 Q1 MATHEMATICS Advances in Nonlinear Analysis Pub Date : 2022-01-01 DOI:10.1515/anona-2022-0249

J. Wang, A. Alsaedi, B. Ahmad, Yong Zhou

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引用次数: 3

摘要

摘要本文考虑具有非线性项的分数阶瑞利-斯托克斯问题满足一定的临界条件。得到了ε\varepsilon正则温和解的局部存在性、唯一性和对初始数据的连续依赖性。最后给出了ε\varepsilon正则温和解的一个唯一延拓结果和一个blow-up替换结果。

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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Well-posedness and blow-up results for a class of nonlinear fractional Rayleigh-Stokes problem

Abstract In this article, we consider the fractional Rayleigh-Stokes problem with the nonlinearity term satisfies certain critical conditions. The local existence, uniqueness and continuous dependence upon the initial data of ε \varepsilon -regular mild solutions are obtained. Furthermore, a unique continuation result and a blow-up alternative result of ε \varepsilon -regular mild solutions are given in the end.

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来源期刊

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.