Dynamical stability of collisionless stellar systems and barotropic stars: the nonlinear Antonov first law

Abstract

We complete previous investigations on the dynamical stability of barotropic stars and collisionless stellar systems. A barotropic star that minimizes the energy functional at fixed mass is a nonlinearly dynamically stable stationary solution of the Euler-Poisson system. Formally, this minimization problem is similar to a condition of “canonical stability… (More)

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