On the blow up criterion for the 2-D compressible Navier-Stokes equations
Czechoslovak Mathematical Journal (2010)
- Volume: 60, Issue: 1, page 195-209
- ISSN: 0011-4642
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topJiang, Lingyu, and Wang, Yidong. "On the blow up criterion for the 2-D compressible Navier-Stokes equations." Czechoslovak Mathematical Journal 60.1 (2010): 195-209. <http://eudml.org/doc/38001>.
@article{Jiang2010,
abstract = {Motivated by [10], we prove that the upper bound of the density function $\rho $ controls the finite time blow up of the classical solutions to the 2-D compressible isentropic Navier-Stokes equations. This result generalizes the corresponding result in [3] concerning the regularities to the weak solutions of the 2-D compressible Navier-Stokes equations in the periodic domain.},
author = {Jiang, Lingyu, Wang, Yidong},
journal = {Czechoslovak Mathematical Journal},
keywords = {compressible Navier-Stokes equations; classical solutions; blow up criterion; compressible Navier-Stokes equations; classical solution; blow up criterion},
language = {eng},
number = {1},
pages = {195-209},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the blow up criterion for the 2-D compressible Navier-Stokes equations},
url = {http://eudml.org/doc/38001},
volume = {60},
year = {2010},
}
TY - JOUR
AU - Jiang, Lingyu
AU - Wang, Yidong
TI - On the blow up criterion for the 2-D compressible Navier-Stokes equations
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 1
SP - 195
EP - 209
AB - Motivated by [10], we prove that the upper bound of the density function $\rho $ controls the finite time blow up of the classical solutions to the 2-D compressible isentropic Navier-Stokes equations. This result generalizes the corresponding result in [3] concerning the regularities to the weak solutions of the 2-D compressible Navier-Stokes equations in the periodic domain.
LA - eng
KW - compressible Navier-Stokes equations; classical solutions; blow up criterion; compressible Navier-Stokes equations; classical solution; blow up criterion
UR - http://eudml.org/doc/38001
ER -
References
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