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math.AP2021★ 8 cited
On self-gravitating polytropic elastic balls
Simone Calogero
A new four-parameters family of constitutive functions for spherically symmetric elastic bodies is introduced which extends the two-parameters class of polytropic fluid models wide…
math.AP2017
Arbitrarily large solutions of the Vlasov-Poisson system
Jonathan Ben-Artzi, Simone Calogero, Stephen Pankavich
We study smooth, global-in-time solutions of the Vlasov-Poisson system in the plasma physical case that possess arbitrarily large charge densities and electric fields. In particula…
math.AP2016
On the spatially homogeneous and isotropic Einstein-Vlasov-Fokker-Planck system with cosmological scalar field
Simone Calogero, Stephen Pankavich
The Einstein-Vlasov-Fokker-Planck system describes the kinetic diffusion dynamics of self-gravitating particles within the Einstein theory of general relativity. We study the Cauch…