Hall magnetohydrodynamics: Conservation laws and Lyapunov stability
Hall magnetohydrodynamics: Conservation laws and Lyapunov stability
复制标题
霍尔磁流体动力学：守恒定律和李亚普诺夫稳定性
DOI：
10.1063/1.866246
复制
发表时间：
1987
影响因子：
4.6
通讯作者：
Darryl D. Holm
中科院分区：
文献类型：
--
作者：
Darryl D. Holm
Hall electric fields produce circulating mass flow in confined ideal‐fluid plasmas. The conservation laws, Hamiltonian structure, equilibrium state relations, and Lyapunov stability conditions are presented here for ideal Hall magnetohydrodynamics (HMHD) in two and three dimensions. The approach here is to use the remarkable array of nonlinear conservation laws for HMHD that follow from its Hamiltonian structure in order to construct explicit Lyapunov functionals for the HMHD equilibrium states. In this way, the Lyapunov stability analysis provides classes of HMHD equilibria that are stable and whose linearized initial‐value problems are well posed (in the sense of possessing continuous dependence on initial conditions). Several examples are discussed in both two and three dimensions.
影响因子：
3.3
作者：
A. Gibson;T. Sekiguchi;K. Lackner;S. Bodner;R. Hancox
通讯作者：
A. Gibson;T. Sekiguchi;K. Lackner;S. Bodner;R. Hancox