On a blow-up criterion for solution of 3D fractional Navier-Stokes-Coriolis equations in Lei-Lin-Gevrey spaces

被引：0

作者：

Sun, Xiaochun ^{[1
]}

Xu, Gaoting ^{[1
]}

Wu, Yulian ^{[1
]}

机构：

[1] Northwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Peoples R China

来源：

OPEN MATHEMATICS | 2023年 / 21卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes equations; Coriolis force; existence; blow-up criterion; Lei-Lin-Gevrey spaces; LONG-TIME DECAY; REGULARITY;

D O I：

10.1515/math-2023-0170

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we researched the existence of the solution to the fractional Navier-Stokes equations with the Coriolis force under initial data, which belong to the Lei-Lin-Gevrey spaces. Moreover, we showed a blow-up criterion, i.e., when the maximal time of existence T* is finite, we proved that the norm of this same solution, in a specific Lei-Lin-Gevrey space, goes to infinity, as time tends to the maximal time of its existence.

引用

页数：10

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