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

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1997年 / 38卷 / 03期

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

页码：1583 / 1592

页数：10

共 50 条

[31] Stability results for a reaction-diffusion problem with mixed boundary conditions and applications to some symmetric cases
Sonego, Maicon
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 466 (02) : 1190 - 1210
[32] SOME SPECTRAL PROPERTIES OF THE BOUNDARY VALUE PROBLEM WITH SPECTRAL PARAMETER IN THE BOUNDARY CONDITIONS
Dunyamaliyeva, Aida A.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2014, 40 (02): : 52 - 64
[33] Some Existence Results on Positive Solutions for an Iterative Second-order Boundary-value Problem with Integral Boundary Conditions
Chouaf, Safa
Khemis, Rabah
Bouakkaz, Ahleme
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
[34] Stabilized finite element formulation applied to the kinematic Ponomarenko dynamo problem
Touihri, Ridha
Soulaimani, Azzeddine
Plunian, Franck
THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 2009, 23 (06) : 431 - 437
[35] SOME SPECTRAL PROPERTIES OF THE BOUNDARY VALUE PROBLEM WITH SPECTRAL PARAMETER IN THE BOUNDARY CONDITIONS
Aliyev, Ziyatkhan S.
Allahverdi-Zada, Fatima-Khanim I.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2015, 41 (02): : 22 - 35
[36] A finite element-spectral formulation for the kinematic MHD dynamo problem
Soto, J
Plunian, F
Massé, P
COMPUTATIONAL FLUID DYNAMICS '98, VOL 1, PARTS 1 AND 2, 1998, : 803 - 808
[37] Stabilized finite element formulation applied to the kinematic Ponomarenko dynamo problem
Ridha Touihri
Azzeddine Soulaimani
Franck Plunian
Theoretical and Computational Fluid Dynamics, 2009, 23 : 431 - 437
[38] THE WEIZSACKER FUNCTIONAL - SOME RIGOROUS RESULTS
ROMERA, E
DEHESA, JS
YANEZ, RJ
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1995, 56 (05) : 627 - 632
[39] Some spectral properties of the streaming operator with general boundary conditions
Boulanouar, Mohamed
APPLICATIONS OF MATHEMATICS, 2008, 53 (01) : 1 - 12
[40] Some spectral properties of the streaming operator with general boundary conditions
Mohamed Boulanouar
Applications of Mathematics, 2008, 53 : 1 - 12

← 1 2 3 4 5 →