Title :
Lyapunov stability of MHD-like plasmas with flows
Author_Institution :
Kurchatov Inst., Moscow, Russia
Abstract :
Summary form only given, as follows. An adequate variational approach allowing for a stability analysis of plasmas with stationary flows is developed. This approach generalizes the method successfully applied to ideal magnetohydrodynamics (MHD) with both isotropic and anisotropic plasma pressure for a case of a nonabelian Hamiltonian plasma dynamics obeying, e.g., the Hall MHD or electron MHD. The key element of the approach is the use of the Clebsh-like representation of Hamiltonian instead of the adding to the Hamiltonian an arbitrary chosen set of Casimirs (while the whole set is infinite). Such a procedure makes the sufficient stability criterion to be obtained closer to a necessary one than earlier known.
Keywords :
plasma magnetohydrodynamics; plasma pressure; variational techniques; Casimirs; Clebsh-like representation; Hall MHD; Hamiltonian; Lyapunov stability; MHD-like plasmas; anisotropic plasma pressure; electron MHD; flow; ideal magnetohydrodynamics; isotropic plasma pressure; nonabelian Hamiltonian plasma dynamics; stability analysis; stationary flows; variational approach; Electromagnetic fields; Electromagnetic radiation; Lyapunov method; Magnetohydrodynamics; Maxwell equations; Physics; Plasma density; Plasma stability; Plasma waves; Quantization;
Conference_Titel :
Plasma Science, 1997. IEEE Conference Record - Abstracts., 1997 IEEE International Conference on
Conference_Location :
San Diego, CA, USA
Print_ISBN :
0-7803-3990-8
DOI :
10.1109/PLASMA.1997.604458