Gravitational collapse and the Vlasov-Poisson system
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🧮 math-ph
math.APmath.MP
keywords
collapsefluidgravitationalsystemtimevlasov-poissonapproximatedarbitrarily
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A self-gravitating homogeneous ball of a fluid with pressure zero where the fluid particles are initially at rest collapses to a point in finite time. We prove that this gravitational collapse can be approximated arbitrarily closely by suitable solutions of the Vlasov-Poisson system which are known to exist globally in time.
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