Global well-posedness of solutions for magnetohydro dynamics-α model in R3

被引：3

作者：

Zhao, Xiaopeng ^{[1
,2
]}

Cao, Jinde ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210018, Jiangsu, Peoples R China

[2] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2017年 / 74卷

基金：

中国博士后科学基金;

关键词：

Magnetohydrodynamics-alpha model; Strauss' inequality; Global well-posedness; ANALYTICITY; EXISTENCE; DECAY;

D O I：

10.1016/j.aml.2017.05.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using Strauss' inequality, we prove the existence of global mild solutions to the 3D magnetohydrodynamics-alpha equations with small initial data. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：134 / 139

页数：6

共 13 条

[1]

[Anonymous], 2002, CHAPMAN HALL CRC RES

[2] EXISTENCE AND ANALYTICITY OF LEI-LIN SOLUTION TO THE NAVIER-STOKES EQUATIONS [J].

Bae, Hantaek .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (07) :2887-2892

[3] On questions of decay and existence for the viscous Camassa-Holm equations [J].

Bjorland, Clayton ;

Schonbek, Maria E. .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2008, 25 (05) :907-936

[4] The Navier-Stokes-alpha model of fluid turbulence [J].

Foias, C ;

Holm, DD ;

Titi, ES .

PHYSICA D, 2001, 152 :505-519

[5] The three dimensional viscous camassa-holm equations, and their relation to the navier-stokes equations and turbulence theory [J].

Foias C. ;

Holm D.D. ;

Titi E.S. .

Journal of Dynamics and Differential Equations, 2002, 14 (1) :1-35

[6] Attractors for the Two-Dimensional Navier–Stokes-α Model: An α-Dependence Study [J].

A. A. Ilyin ;

E. S. Titi .

Journal of Dynamics and Differential Equations, 2003, 15 (4) :751-778

[7] Time decay rate for two 3D magnetohydrodynamics- α models [J].

Jiang, Zaihong ;

Fan, Jishan .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (06) :838-845

[8] Global Mild Solutions of Navier-Stokes Equations [J].

Lei, Zhen ;

Lin, Fanghua .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2011, 64 (09) :1297-1304

[9] Analytical study of certain magnetohydrodynamic-α models [J].

Linshiz, Jasmine S. ;

Titi, Edriss S. .

JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (06)

[10] Global regularity for the 2D incompressible MHD-α system without full dissipation and magnetic diffusions [J].

Ma, Caochuan ;

Alsaedi, Ahmed ;

Hayat, Tasawar ;

Zhou, Yong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 434 (02) :1035-1052

← 1 2 →