Linear stability of stationary solutions of the Vlasov-Poisson system in three dimensions
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Publication:1894122
DOI10.1007/BF00375154zbMath0828.76093OpenAlexW2068005474MaRDI QIDQ1894122
Philip J. Morrison, Gerhard Rein, Jürgen Batt
Publication date: 15 January 1996
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00375154
PDEs in connection with optics and electromagnetic theory (35Q60) Galactic and stellar dynamics (85A05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)
Related Items (18)
The Maxwell–Vlasov equations in Euler–Poincaré form ⋮ Linear stability of the Vlasov-Poisson system with boundary conditions ⋮ Damping of particles interacting with a vibrating medium ⋮ Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas—a review ⋮ Energy-Casimir method for the dynamical systems with modified gravitational potential ⋮ From the Hartree Equation to the Vlasov--Poisson System: Strong Convergence for a Class of Mixed States ⋮ Hamiltonian description of Vlasov dynamics: Action-angle variables for the continuous spectrum ⋮ Stability for the spherically symmetric Einstein–Vlasov system–a coercivity estimate ⋮ Quasi-stationary states for particle systems in the mean-field limit ⋮ A uniqueness criterion for unbounded solutions to the Vlasov-Poisson system ⋮ The orbital stability of the ground states and the singularity formation for the gravitational Vlasov-Poisson system ⋮ Stationary solutions of the flat Vlasov-Poisson system ⋮ The positive solutions of the Matukuma equation and the problem of finite radius and finite mass ⋮ A Study of a Hamiltonian Model for Martensitic Phase fransformations Including Microkinetic Energy ⋮ Long-time estimates in the mean-field limit ⋮ Stable Ground States for the Relativistic Gravitational Vlasov–Poisson System ⋮ On the existence of linearly oscillating galaxies ⋮ Formal stability in Hamiltonian fluid models for plasmas
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