Linear stability of stationary solutions of the Vlasov-Poisson system in three dimensions
Linear stability of stationary solutions of the Vlasov-Poisson system in three dimensions
Rigorous results on the stability of stationary solutions of the Vlasov-Poisson system are obtained in both the plasma physics and stellar dynamics contexts. It is proven that stationary solutions in the plasma physics (stellar dynamics) case are linearly stable if they are decreasing (increasing) functions of the local, i.e. particle, …