Abstract
The Lie-Poisson Hamiltonian structure of the special-relativistic electromagnetic fluid equations is derived. This Hamiltonian structure provides synthesis and insight leading to new conservation laws and stability conditions for the equilibrium solutions. A corollary of the stability results generalizes Rayleigh's inflectional instability criterion for ideal incompressible fluids to the present case. Another alternative. Hamiltonian formulation of relativistic electromagnetic fluid dynamics is constructed systematically via Lie-algebraic considerations of the Poisson bracket. (In particular, relativistic magnetohydrodynamics emerges naturally from these considerations.) The nonrelativistic limits of these two formulations are also determined and are shown to be regular and to preserve the corresponding Lie-Poisson structures.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
