Geodesic
Blow-up for the compressible isentropic Navier-Stokes-Poisson equations
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 1, pp. 9-19
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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.
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.
DOI : 10.21136/CMJ.2019.0156-18
Classification : 35B44, 35Q35
Keywords: compressible isentropic Navier-Stokes-Poisson equations; unipolar; bipolar; smooth solution; blow-up 
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Dong, Jianwei; Zhu, Junhui; Wang, Yanping. Blow-up for the compressible isentropic Navier-Stokes-Poisson equations. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 1, pp. 9-19. doi: 10.21136/CMJ.2019.0156-18

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