Lyapunov stability analysis of magnetohydrodynamic plasma equilibria with axisymmetric toroidal flow

DOI10.1063/1.866640zbMath0663.76140OpenAlexW2049020091MaRDI QIDQ3815077

Eliezer Hameiri, Darryl D. Holm, Julio E. Herrera, Juan Antonio Almaguer

Publication date: 1988

Published in: The Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.866640

zbMATH Keywords

Hamiltonian formalismlinearized dynamicsLyapunov stability conditionsaxisymmetric toroidal geometryAxisymmetric equilibrium solutionsBernoulli-Grad- Shafranov system of equationsnonlinearly conserved Lyapunov functional

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Foundations of fluid mechanics (76A02)

Related Items (5)

Simplified variational principles for barotropic magnetohydrodynamics ⋮ Noether currents for Eulerian variational principles in non-barotropic magnetohydrodynamics and topological conservations laws ⋮ Orbital stability in static axisymmetric fields ⋮ A biharmonic approach for the global stability analysis of 2D incompressible viscous flows ⋮ Formal stability in Hamiltonian fluid models for plasmas

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