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Keywords:
compressible isentropic Navier-Stokes-Poisson equations; unipolar; bipolar; smooth solution; blow-up
compressible isentropic Navier-Stokes-Poisson equations; unipolar; bipolar; smooth solution; blow-up
Summary:
We will show the blow-up of smooth solutions to the Cauchy problems for compressible unipolar isentropic Navier-Stokes-Poisson equations with attractive forcing and compressible bipolar isentropic Navier-Stokes-Poisson equations in arbitrary dimensions under some restrictions on the initial data. The key of the proof is finding the relations between the physical quantities and establishing some differential inequalities.
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