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Keywords:
compressible isentropic Navier-Stokes-Poisson equation; unipolar; energy solution; blow-up
compressible isentropic Navier-Stokes-Poisson equation; unipolar; energy solution; blow-up
Summary:
We study compressible isentropic Navier-Stokes-Poisson equations in ${\mathbb R}^3$. With some appropriate assumptions on the density, velocity and potential, we show that the classical solution of the Cauchy problem for compressible unipolar isentropic Navier-Stokes-Poisson equations with attractive forcing will blow up in finite time. The proof is based on a contradiction argument, which relies on proving the conservation of total mass and total momentum.
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