Geodesic
Blow-up for 3-D compressible isentropic Navier-Stokes-Poisson equations
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 4, pp. 1189-1198.

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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.
DOI : 10.21136/CMJ.2021.0347-20
Classification : 35B44, 35Q35
Keywords: compressible isentropic Navier-Stokes-Poisson equation; unipolar; energy solution; blow-up 
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     title = {Blow-up for {3-D} compressible isentropic {Navier-Stokes-Poisson} equations},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1189--1198},
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Yang, Shanshan; Jiang, Hongbiao; Lin, Yinhe. Blow-up for 3-D compressible isentropic Navier-Stokes-Poisson equations. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 4, pp. 1189-1198. doi : 10.21136/CMJ.2021.0347-20. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0347-20/

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