Abstract
We prove the finite time blow-up for $C^1$ solutions of the attractive Euler-Poisson equations in $\Bbb R^{2}$, $n\geq1$, 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.
Citation
Donghao Chae. Eitan Tadmor. "On the finite time blow-up of the Euler-Poisson equations in $\Bbb R^{2}$." Commun. Math. Sci. 6 (3) 785 - 789, September 2008.
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