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Non linear stability of spherical gravitational systems described by the Vlasov-Poisson equation

Mohammed Lemou (2011/2012)

Séminaire Laurent Schwartz — EDP et applications

In this work, we prove the nonlinear stability of galaxy models derived from the three dimensional gravitational Vlasov Poisson system, which is a canonical model in astrophysics to describe the dynamics of galactic clusters.

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Laguerre (1870)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

Numerical hydrodynamics and magnetohydrodynamics in general relativity.

Font, José A. (2008)

Living Reviews in Relativity [electronic only]

Numerical simulations in astrophysics: Supernovae explosions, magnetorotational model and neutrino emission.

Bisnovatyi-Kogan, G.S. (1999)

Discrete Dynamics in Nature and Society

Numerical treatment of a time dependent inverse problem in photon transport

S. Pieraccini, R. Riganti, A. Belleni-Morante (2005)

Bollettino dell'Unione Matematica Italiana

The time-dependent intensity of a UV-photon source, located inside an interstellar cloud, is determined by formulating and solving an inverse problem for the integro-differential transport equation of photons in a one-dimensional slab. Starting from a discretizazion of the forward problem, an iterative procedure is used to compute the values of the source intensity at increasing values of the time.