Global well-posedness of perturbed Navier-Stokes system around Landau solutions

被引：2

作者：

Zhang, Jingjing ^{[1
]}

Zhang, Ting ^{[1
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 01期

基金：

中国国家自然科学基金;

关键词：

HOMOGENEOUS SOLUTIONS; ISOLATED SINGULARITIES; EQUATIONS; STABILITY; REGULARITY; SPACES;

D O I：

10.1063/5.0087462

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we consider the perturbed Navier-Stokes equations around the Landau solution and investigate the global well-posedness result s of the perturbed system with the small initial data in the X-1 space, where X-1 = {f epsilon D'(R-3) : integral(3)(R) |xi|(-1)| (f) over cap |d xi < infinity}.

引用

页数：7

共 30 条

[1] L2-DECAY FOR NAVIER-STOKES FLOWS IN UNBOUNDED-DOMAINS, WITH APPLICATION TO EXTERIOR STATIONARY FLOWS [J].

BORCHERS, W ;

MIYAKAWA, T .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1992, 118 (03) :273-295

[2] ON STABILITY OF EXTERIOR STATIONARY NAVIER-STOKES FLOWS [J].

BORCHERS, W ;

MIYAKAWA, T .

ACTA MATHEMATICA, 1995, 174 (02) :311-382

[3] Smooth or singular solutions to the Navier-Stokes system [J].

Cannone, M ;

Karch, G .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 197 (02) :247-274

[4]

Cannone M., 1994, SEM EQ DER PART 1993

[5]

Chemin JY, 1999, J ANAL MATH, V77, P27, DOI 10.1007/BF02791256

[6]

Ferrari AB, 1998, COMMUN PART DIFF EQ, V23, P1

[7] GEVREY CLASS REGULARITY FOR THE SOLUTIONS OF THE NAVIER-STOKES EQUATIONS [J].

FOIAS, C ;

TEMAM, R .

JOURNAL OF FUNCTIONAL ANALYSIS, 1989, 87 (02) :359-369

[8] ON THE NAVIER-STOKES INITIAL VALUE PROBLEM .1. [J].

FUJITA, H ;

KATO, T .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1964, 16 (04) :269-315

[9]

Gang Tian, 1998, TOPOL METHOD NONL AN, V11, P135

[10] NAVIER-STOKES FLOW IN R3 WITH MEASURES AS INITIAL VORTICITY AND MORREY SPACES [J].

GIGA, Y ;

MIYAKAWA, T .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1989, 14 (05) :577-618

← 1 2 3 →