Asymptotic behavior of solutions to the nonstationary magneto-hydrodynamic equations

被引：1
|
作者：
Liu, Zhaoxia [1 ]
机构：
[1] Minzu Univ China, Sch Sci, Beijing 100081, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 185卷
关键词：
MHD equation; Strong solution; Asymptotic behavior; Half-space; NAVIER-STOKES EQUATIONS; LARGE-TIME BEHAVIOR; SPATIAL DECAYS; WEAK SOLUTIONS; L2; DECAY; FLOWS; SPACE;
D O I：
10.1016/j.na.2019.02.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Asymptotic behavior of the higher order spacial derivatives of the strong solution to the incompressible non-stationary magneto-hydrodynamic (MHD) equations is given in a half-space, which is a long-time difficult question. The main tools employed in this article are the non-stationary Stokes solution formula, and some a priori estimates of the steady Stokes system in the half-space. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：29 / 48
页数：20
相关论文
共 50 条
  • [41] STABILITY AND ERROR ANALYSIS OF IMEX SAV SCHEMES FOR THE MAGNETO-HYDRODYNAMIC EQUATIONS
    LI, Xiaoli
    Wang, Weilong
    Shen, J. I. E.
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 60 (03) : 1026 - 1054
  • [42] Long Time L1-behavior for the Incompressible Magneto-hydrodynamic Equations in a Half-space
    Liu, Zhao-xia
    Yu, Xing-jiang
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2016, 32 (04): : 933 - 944
  • [43] Long time L1-behavior for the incompressible magneto-hydrodynamic equations in a half-space
    Zhao-xia Liu
    Xing-jiang Yu
    Acta Mathematicae Applicatae Sinica, English Series, 2016, 32 : 933 - 944
  • [44] REGULARIZING RATE ESTIMATES FOR MILD SOLUTIONS OF THE INCOMPRESSIBLE MAGNETO-HYDRODYNAMIC SYSTEM
    Liu, Qiao
    Cui, Shangbin
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2012, 11 (05) : 1643 - 1660
  • [45] ON A DETERMINATION OF THE PLASM MAGNETO-HYDRODYNAMIC CHARACTERISTICS
    ISKENDEROV, AD
    GUMBATOV, OA
    IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK, 1979, (06): : 43 - 46
  • [46] EXPERIMENTAL INVESTIGATIONS OF MAGNETO-HYDRODYNAMIC WAVES
    LUNDQUIST, S
    PHYSICAL REVIEW, 1949, 76 (12): : 1805 - 1809
  • [47] EXPERIMENTAL DEMONSTRATION OF MAGNETO-HYDRODYNAMIC WAVES
    LUNDQUIST, S
    ARKIV FOR FYSIK, 1950, 2 (03): : 221 - 222
  • [48] MODULATIONAL INSTABILITY OF A MAGNETO-HYDRODYNAMIC JET
    LARDNER, RW
    TREHAN, SK
    ASTROPHYSICS AND SPACE SCIENCE, 1983, 96 (02) : 261 - 281
  • [49] MODELING OF A MAGNETO-HYDRODYNAMIC DC PUMP
    Bennecib, N.
    Kerdoun, D.
    Madaci, M.
    2013 INTERNATIONAL CONFERENCE ON TECHNOLOGICAL ADVANCES IN ELECTRICAL, ELECTRONICS AND COMPUTER ENGINEERING (TAEECE), 2013, : 605 - 611
  • [50] MAGNETO-HYDRODYNAMIC TAYLOR VORTEX FLOWS
    TABELING, P
    JOURNAL OF FLUID MECHANICS, 1981, 112 (NOV) : 329 - 345
12345