Blow-up for the compressible isentropic Navier-Stokes-Poisson equations

Jianwei Dong; Junhui Zhu; Yanping Wang

Czechoslovak Mathematical Journal (2020)

  • Volume: 70, Issue: 1, page 9-19
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Dong, Jianwei, Zhu, Junhui, and Wang, Yanping. "Blow-up for the compressible isentropic Navier-Stokes-Poisson equations." Czechoslovak Mathematical Journal 70.1 (2020): 9-19. <http://eudml.org/doc/296980>.

@article{Dong2020,
abstract = {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.},
author = {Dong, Jianwei, Zhu, Junhui, Wang, Yanping},
journal = {Czechoslovak Mathematical Journal},
keywords = {compressible isentropic Navier-Stokes-Poisson equations; unipolar; bipolar; smooth solution; blow-up},
language = {eng},
number = {1},
pages = {9-19},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Blow-up for the compressible isentropic Navier-Stokes-Poisson equations},
url = {http://eudml.org/doc/296980},
volume = {70},
year = {2020},
}

TY - JOUR
AU - Dong, Jianwei
AU - Zhu, Junhui
AU - Wang, Yanping
TI - Blow-up for the compressible isentropic Navier-Stokes-Poisson equations
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 1
SP - 9
EP - 19
AB - 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.
LA - eng
KW - compressible isentropic Navier-Stokes-Poisson equations; unipolar; bipolar; smooth solution; blow-up
UR - http://eudml.org/doc/296980
ER -

References

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