Some rigorous results for the kinematic dynamo problem with general boundary conditions

被引:6
|
作者
Nunez, M
机构
[1] Depto. de Analisis Matematico, Universidad de Valladolid
关键词
D O I
10.1063/1.531817
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The main energy inequalities for the induction equation are studied for a variety of boundary conditions. The results are applied to the evolution of the magnetic field and the vector potential within a conducting fluid disregarding the influence of these upon the velocity (the kinematic dynamo problem). Emphasis is placed upon the behavior of these fields at the singular limit of zero magnetic diffusivity. (C) 1997 American Institute of Physics.
引用
收藏
页码:1583 / 1592
页数:10
相关论文
共 50 条
  • [11] KINEMATIC DYNAMO PROBLEM IN A LINEAR VELOCITY-FIELD
    ZELDOVICH, YB
    RUZMAIKIN, AA
    MOLCHANOV, SA
    SOKOLOFF, DD
    JOURNAL OF FLUID MECHANICS, 1984, 144 (JUL) : 1 - 11
  • [12] Multiplicity results for a boundary value problem with integral boundary conditions
    Ghanmii A.
    Jebari R.
    Zhang Z.
    SeMA Journal, 2019, 76 (2) : 365 - 381
  • [13] Some new results for a boundary value problem
    Hu, Shigeng
    Huazhong Ligong Daxue Xuebao/Journal Huazhong (Central China) University of Science and Technology, 1996, 24 (Suppl 1):
  • [14] SOME GENERAL RESULTS ON THE SEEPAGE EXCLUSION PROBLEM
    PHILIP, JR
    WATER RESOURCES RESEARCH, 1990, 26 (03) : 369 - 377
  • [15] SOME REMARKS ON BOUNDARY VALUE PROBLEM IN GENERAL RELATIVITY
    LEUTWYLE.H
    KLAUDER, JR
    HELVETICA PHYSICA ACTA, 1965, 38 (03): : 241 - &
  • [16] Finite-correlation-time effects in the kinematic dynamo problem
    Schekochihin, AA
    Kulsrud, RM
    PHYSICS OF PLASMAS, 2001, 8 (11) : 4937 - 4953
  • [17] EIGENVALUE PROBLEM IN KINEMATIC APPROACH TO DYNAMO THEORIES OF COSMIC MAGNETISM
    YABUSHITA, S
    ASTRONOMY & ASTROPHYSICS, 1973, 26 (03): : 321 - 324
  • [18] EXISTENCE RESULTS FOR IMPULSIVE BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS
    Benchohra, Mouffak
    Berhoun, Farida
    Nieto, Juan J.
    DYNAMIC SYSTEMS AND APPLICATIONS, 2010, 19 (3-4): : 585 - 597
  • [19] Some Rigorous Results on the 1:1 Resonance of the Spin-Orbit Problem
    Misquero, Mauricio
    Ortega, Rafael
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2020, 19 (04): : 2233 - 2267
  • [20] RIGOROUS RESULTS FOR GENERAL ISING FERROMAGNETS
    NEWMAN, CM
    JOURNAL OF STATISTICAL PHYSICS, 1976, 15 (05) : 399 - 406