Decay characterization of solutions to generalized Hall-MHD system in R3

被引：9

作者：

Zhao, Xiaopeng ^{[1
]}

Zhu, Mingxuan ^{[2
]}

机构：

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

[2] Jiaxing Univ, Dept Math, Jiaxing 314001, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 59卷 / 07期

基金：

浙江省自然科学基金; 中国博士后科学基金; 中国国家自然科学基金;

关键词：

NAVIER-STOKES EQUATIONS; BLOW-UP CRITERIA; GLOBAL EXISTENCE; WELL-POSEDNESS; MAGNETO-HYDRODYNAMICS; MAGNETOHYDRODYNAMICS; REGULARITY; BEHAVIOR;

D O I：

10.1063/1.5040409

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By using the Fourier splitting method and the properties of decay character r*, we establish the time decay rate in the L-2-norm for the weak solutions and the higher-order derivative of solutions for the generalized Hall-magnetohydrodynamic equations in R 3. In particular, when (u(0), b(0)) is an element of H-s(R-3) boolean AND L-1(R-3) has decay character r* (u(0)) = r* (b(0)) = 0 and alpha = beta = 1, then we recover the previous results of Chae and Schonbek [J. Differ. Equations 255, 3971-3982 (2013)]. Published by AIP Publishing.

引用

页数：13

共 34 条

[1] Hamiltonian formalism of extended magnetohydrodynamics [J].

Abdelhamid, H. M. ;

Kawazura, Y. ;

Yoshida, Z. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (23)

[2] KINETIC FOR MULATION AND GLOBAL EXISTENCE FOR THE HALL-MAGNETO-HYDRODYNAMICS SYSTEM [J].

Acheritogaray, Marion ;

Degond, Pierre ;

Frouvelle, Amic ;

Liu, Jian-Guo .

[3] Two-fluid turbulence including electron inertia [J].

Andres, Nahuel ;

Gonzalez, Carlos ;

Martin, Luis ;

Dmitruk, Pablo ;

Gomez, Daniel .

PHYSICS OF PLASMAS, 2014, 21 (12)

[4] Effects of electron inertia in collisionless magnetic reconnection [J].

Andres, Nahuel ;

Martin, Luis ;

Dmitruk, Pablo ;

Gomez, Daniel .

PHYSICS OF PLASMAS, 2014, 21 (07)

[5]

Bjorland C, 2009, ADV DIFFERENTIAL EQU, V14, P241

[6] CHARACTERIZATION OF SOLUTIONS TO DISSIPATIVE SYSTEMS WITH SHARP ALGEBRAIC DECAY [J].

Brandolese, Lorenzo .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2016, 48 (03) :1616-1633

[7] Local Well-Posedness for the Hall-MHD Equations with Fractional Magnetic Diffusion [J].

Chae, Dongho ;

Wan, Renhui ;

Wu, Jiahong .

JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2015, 17 (04) :627-638

[8] Well-posedness for Hall-magnetohydrodynamics [J].

Chae, Dongho ;

Degond, Pierre ;

Liu, Jian-Guo .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2014, 31 (03) :555-565

[9] the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics [J].

Chae, Dongho ;

Lee, Jihoon .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (11) :3835-3858

[10] On the temporal decay for the Hall-magnetohydrodynamic equations [J].

Chae, Dongho ;

Schonbek, Maria .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (11) :3971-3982

← 1 2 3 4 →