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We prove the finite time blow-up for C 1 solutions of the attractive Euler-Poisson equations in R n , n ≥ 1, with and without background state, for a large set of 'generic' initial data.We characterize this supercritical set by tracing the spectral dynamics of the deformation and vorticity tensors.
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Chae et al. (2008) studied this question.
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