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In this paper, we first give some sufficient conditions for the finite time blow-up result of smooth solutions to the Euler-Poisson magnetohydrodynamic flows. We use the method in cite{JWX} to estimate the total pressure and momentum of inertia, and then deduce the upper and lower bounds of internal energy, finally give the proof of the main result by comparing the bounds. |
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Keywords:blow-up, total pressure, momentum of inertia, internal energy, Euler-Poisson magnetohydrodynamic equations. |
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