Numerical experiments on stationary, oscillating, and damped spherical galaxy models

Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Galactic and stellar structure (85A15) Galactic and stellar dynamics (85A05)

Cites Work

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Mass-radius spirals for steady state families of the Vlasov-Poisson system
Time-periodic approximations of the Euler-Poisson system near Lane-Emden stars
Orbital stability of spherical galactic models
On Landau damping
Unstable and stable galaxy models
Stationary spherically symmetric models in stellar dynamics
The monotonicity of the period function for planar Hamiltonian vector fields
Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
On nonlinear stability of polytropic galaxies
Stable steady states in stellar dynamics
Galactic oscillations
Testing galactic oscillations
Oscillations in galaxies
Oscillating solutions of the Vlasov-Poisson system -- a numerical investigation
Linear stability of stationary solutions of the Vlasov-Poisson system in three dimensions
Variational method for stable polytropic galaxies
Stability and instability of self-gravitating relativistic matter distributions
On the existence of linearly oscillating galaxies
Phase mixing for solutions to 1D transport equation in a confining potential
Unstable galaxy models
Spherically symmetric equilibria for self-gravitating kinetic or fluid models in the nonrelativistic and relativistic case---A simple proof for finite extension
The Stability and Vibrations of a Gas of Stars
A class of Hamiltonian systems with increasing periods.
Discrete approximation of the Poisson-Vlasov system
Static shells for the Vlasov-Poisson and Vlasov-Einstein systems
TIME-DEPENDENT RESCALINGS AND LYAPUNOV FUNCTIONALS FOR THE VLASOV–POISSON AND EULER–POISSON SYSTEMS, AND FOR RELATED MODELS OF KINETIC EQUATIONS, FLUID DYNAMICS AND QUANTUM PHYSICS
A Birman-Schwinger Principle in Galactic Dynamics
Phase space mixing in an external gravitational central potential
A numerical stability analysis for the Einstein–Vlasov system
On the small redshift limit of steady states of the spherically symmetric Einstein–Vlasov system and their stability
Existence and stability of static shells for the Vlasov–Poisson system
A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein–Vlasov system
A 4th-Order Particle-in-Cell Method with Phase-Space Remapping for the Vlasov--Poisson Equation
Mixing in anharmonic potential well
Sulle soluzioni di Emden dell'equazione di Fowler.
Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas—a review
Sparse grid-based adaptive noise reduction strategy for particle-in-cell schemes

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