Global Stability and Local Bifurcations in a Two-Fluid Model for Tokamak Plasma

DOI10.1137/130912384zbMath1315.37048arXiv1303.1567OpenAlexW2141152436MaRDI QIDQ5249805

Daniel Han-Kwan, Jens D. M. Rademacher, Delyan Zhelyazov

Publication date: 12 May 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1567

zbMATH Keywords

symmetrybifurcationstraveling wavesplasma instability

Mathematics Subject Classification ID

Statistical mechanics of plasmas (82D10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (4)

Confined steady states of the relativistic Vlasov-Maxwell system in an infinitely long cylinder ⋮ Hot Plasma in a Container---an Optimal Control Problem ⋮ Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications ⋮ On the two and one-half dimensional Vlasov-Poisson system with an external magnetic field: global well-posedness and stability of confined steady states

Uses Software

• pde2path

Cites Work

• Unnamed Item
• Unnamed Item
• Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems
• Expansion of a singularly perturbed equation with a two-scale converging convection term
• Geometric theory of semilinear parabolic equations
• Mode interactions in large aspect ratio convection
• pde2path - A Matlab Package for Continuation and Bifurcation in 2D Elliptic Systems
• The world of the complex Ginzburg-Landau equation
• Quasineutral Limit of the Vlasov-Poisson System with Massless Electrons
• Nonlinear Stability of Stationary Plasmas---An Extension of the Energy-Casimir Method
• An Introduction to Fluid Dynamics
• Magnetohydrodynamics of Laboratory and Astrophysical Plasmas
• On The Confinement of a Tokamak Plasma
• Pattern formation outside of equilibrium

This page was built for publication: Global Stability and Local Bifurcations in a Two-Fluid Model for Tokamak Plasma