Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid
Mathematica Bohemica (2002)
- Volume: 127, Issue: 2, page 203-209
- ISSN: 0862-7959
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topFeireisl, Eduard. "Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid." Mathematica Bohemica 127.2 (2002): 203-209. <http://eudml.org/doc/249037>.
@article{Feireisl2002,
abstract = {This is a survey of some recent results on the existence of globally defined weak solutions to the Navier-Stokes equations of a viscous compressible fluid with a general barotropic pressure-density relation.},
author = {Feireisl, Eduard},
journal = {Mathematica Bohemica},
keywords = {compressible Navier-Stokes equations; global existence; weak solutions; global existence; weak solutions; Navier-Stokes equations; viscous compressible fluid},
language = {eng},
number = {2},
pages = {203-209},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid},
url = {http://eudml.org/doc/249037},
volume = {127},
year = {2002},
}
TY - JOUR
AU - Feireisl, Eduard
TI - Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid
JO - Mathematica Bohemica
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 127
IS - 2
SP - 203
EP - 209
AB - This is a survey of some recent results on the existence of globally defined weak solutions to the Navier-Stokes equations of a viscous compressible fluid with a general barotropic pressure-density relation.
LA - eng
KW - compressible Navier-Stokes equations; global existence; weak solutions; global existence; weak solutions; Navier-Stokes equations; viscous compressible fluid
UR - http://eudml.org/doc/249037
ER -
References
top- Boundary Value Problems of Mechanics of Non-Homogeneous Fluids, Novosibirsk, 1983. (Russian) (1983)
- 10.1007/BF01393835, Invent. Math. 98 (1989), 511–547. (1989) MR1022305DOI10.1007/BF01393835
- Global in time weak solutions for compressible barotropic self-gravitating fluids, Adv. Appl. Math. Submitted (2001). (2001) MR1841897
- The dynamical systems approach to the Navier-Stokes equations of compressible fluid, Advances in Mathematical Fluid Mechanics, J. Málek, J. Nečas, M. Rokyta (eds.), Springer, Berlin, 2000. (2000) MR1863209
- On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable, Comment. Math. Univ. Carolin. 42 (2001), 83–98. (2001) Zbl1115.35096MR1825374
- On the domain dependence of solutions to the compressible Navier-Stokes equations of a barotropic fluid, Math. Meth. Appl. Sci (to appear). (to appear) MR1918742
- On the existence of globally defined weak solutions to the Navier-Stokes equations of compressible isentropic fluids, J. Math. Fluid Dynamics 3 (2001), 358–392. (2001) MR1867887
- 10.1080/03605300008821530, Commun. Partial Differential Equations 25 (2000), 755–767. (2000) MR1748351DOI10.1080/03605300008821530
- Mathematical Topics in Fluid Dynamics, Vol. 2, Compressible Models, Oxford Science Publication, Oxford, 1998. (1998) MR1637634
- Bornes sur la densité pour les équations de Navier-Stokes compressible isentropiques avec conditions aux limites de Dirichlet, C. R. Acad. Sci. Paris, Sér I. 328 (1999), 659–662. (1999) MR1680813
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