Lyapunov stability conditions for a relativistic multifluid plasma
In preparation for establishing nonlinear stability conditions, the Hamiltonian structure is given for ideal relativistic multifluid plasma dynamics in the laboratory frame with the Hamiltonian functional equaling the relativistic energy minus the mass energy. The noncanonical Poisson bracket for this system turns out to be the same as for the nonrelativistic multifluid plasma, but with dynamical variables replaced by their relativistic counterparts. New constants of the motion are then derived from the Hamiltonian structure and used as Lyapunov functionals for proving sufficient conditions for nonlinear stability of relativistic multifluid plasma equilibria. The nonrelativistic limit of the formulation is uniformly regular, and nonlinear Lyapunov stability conditions derived earlier for a nonrelativistic multifluid plasma re-emerge in that limit.
- Research Organization:
- Los Alamos National Lab., NM (USA); Tennessee Univ., Tullahoma (USA). Space Inst.
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 6844509
- Report Number(s):
- LA-UR-84-1127; CONF-840616-6; ON: DE84010004
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
DIFFERENTIAL EQUATIONS
EQUATIONS
HAMILTONIANS
LYAPUNOV METHOD
MATHEMATICAL OPERATORS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
POISSON EQUATION
QUANTUM OPERATORS
STABILITY