Global existence of perturbed Navier–Stokes system around Landau solutions with slowly decaying oscillation

IF 1.2 4区 数学 Q2 MATHEMATICS, APPLIED
Jiayan Wu, Cuili Zhai, Jingjing Zhang, Ting Zhang
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引用次数: 0

Abstract

In this paper, we consider the perturbed Navier–Stokes system around the Landau solutions. Using the energy method and the continuation method, we show the global existence of the $L^2$ local energy solution for the perturbed Navier–Stokes system with the oscillation decay initial data $v_0 \in E^2_{\sigma} + L^3_{\operatorname{uloc}} \,$.
具有缓慢衰减振荡的朗道解周围扰动纳维-斯托克斯系统的全局存在性
本文考虑了围绕朗道解的扰动纳维-斯托克斯系统。利用能量法和延续法,我们证明了具有振荡衰减初始数据 $v_0 \in E^2_{\sigma} + L^3_{\operatorname{uloc}} 的扰动纳维-斯托克斯系统的 $L^2$ 局域能量解的全局存在性。\,$.
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来源期刊
CiteScore
1.70
自引率
10.00%
发文量
59
审稿时长
6 months
期刊介绍: Covers modern applied mathematics in the fields of modeling, applied and stochastic analyses and numerical computations—on problems that arise in physical, biological, engineering, and financial applications. The journal publishes high-quality, original research articles, reviews, and expository papers.
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