Blow-up for 3-D compressible isentropic Navier-Stokes-Poisson equations

Shanshan Yang; Hongbiao Jiang; Yinhe Lin

Czechoslovak Mathematical Journal (2021)

  • Volume: 71, Issue: 4, page 1189-1198
  • ISSN: 0011-4642

Abstract

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We study compressible isentropic Navier-Stokes-Poisson equations in 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.

How to cite

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Yang, Shanshan, Jiang, Hongbiao, and Lin, Yinhe. "Blow-up for 3-D compressible isentropic Navier-Stokes-Poisson equations." Czechoslovak Mathematical Journal 71.4 (2021): 1189-1198. <http://eudml.org/doc/297886>.

@article{Yang2021,
abstract = {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.},
author = {Yang, Shanshan, Jiang, Hongbiao, Lin, Yinhe},
journal = {Czechoslovak Mathematical Journal},
keywords = {compressible isentropic Navier-Stokes-Poisson equation; unipolar; energy solution; blow-up},
language = {eng},
number = {4},
pages = {1189-1198},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Blow-up for 3-D compressible isentropic Navier-Stokes-Poisson equations},
url = {http://eudml.org/doc/297886},
volume = {71},
year = {2021},
}

TY - JOUR
AU - Yang, Shanshan
AU - Jiang, Hongbiao
AU - Lin, Yinhe
TI - Blow-up for 3-D compressible isentropic Navier-Stokes-Poisson equations
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 71
IS - 4
SP - 1189
EP - 1198
AB - 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.
LA - eng
KW - compressible isentropic Navier-Stokes-Poisson equation; unipolar; energy solution; blow-up
UR - http://eudml.org/doc/297886
ER -

References

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