Blow-up of Smooth Solutions to the Euler-Poisson Equations
Abstract
In this paper, the finite time blow-up of smooth solutions to the Cauchy problem for full Euler-Poisson equations and isentropic Euler-Poisson equations with repulsive forces or attractive forces in high dimensions (n≥3) is proved for a large class of initial data. It is not required that the initial data has compact support or contains vacuum in any finite regions.
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