On an evolutionary nonlinear fluid model in the limiting case
Mathematica Bohemica (2001)
- Volume: 126, Issue: 2, page 421-428
- ISSN: 0862-7959
Access Full Article
top
Abstract
topHow to cite
topLuckhaus, Stephan, and Málek, Josef. "On an evolutionary nonlinear fluid model in the limiting case." Mathematica Bohemica 126.2 (2001): 421-428. <http://eudml.org/doc/248853>.
@article{Luckhaus2001,
abstract = {We consider the two-dimesional spatially periodic problem for an evolutionary system describing unsteady motions of the fluid with shear-dependent viscosity under general assumptions on the form of nonlinear stress tensors that includes those with $p$-structure. The global-in-time existence of a weak solution is established. Some models where the nonlinear operator corresponds to the case $p=1$ are covered by this analysis.},
author = {Luckhaus, Stephan, Málek, Josef},
journal = {Mathematica Bohemica},
keywords = {shear-dependent viscosity; incompressible fluid; global-in-time existence; weak solution; shear-dependent viscosity; incompressible fluid; global-in-time existence; weak solution},
language = {eng},
number = {2},
pages = {421-428},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On an evolutionary nonlinear fluid model in the limiting case},
url = {http://eudml.org/doc/248853},
volume = {126},
year = {2001},
}
TY - JOUR
AU - Luckhaus, Stephan
AU - Málek, Josef
TI - On an evolutionary nonlinear fluid model in the limiting case
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 2
SP - 421
EP - 428
AB - We consider the two-dimesional spatially periodic problem for an evolutionary system describing unsteady motions of the fluid with shear-dependent viscosity under general assumptions on the form of nonlinear stress tensors that includes those with $p$-structure. The global-in-time existence of a weak solution is established. Some models where the nonlinear operator corresponds to the case $p=1$ are covered by this analysis.
LA - eng
KW - shear-dependent viscosity; incompressible fluid; global-in-time existence; weak solution; shear-dependent viscosity; incompressible fluid; global-in-time existence; weak solution
UR - http://eudml.org/doc/248853
ER -
References
top- On existence results for fluids with shear dependent viscosity-unsteady flows, Partial Differential Equations, Theory and Numerical Solution, CRC Reserach Notes in Mathematics series, Vol. 406, W. Jäger, O. John, K. Najzar, J. Nečas, J. Stará (eds.), CRC Press UK, Boca Raton, 1999, pp. 121–129. (1999) MR1713880
- Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities, Nonlinear Differ. Equ. Appl., submitted.
- On some new equations describing dynamics of incompressible fluids and on global solvability of boundary value problems to these equations, Trudy Math. Inst. Steklov. 102 (1967), 85–104. (1967)
- Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires, Dunod, Paris, 1969. (1969) Zbl0189.40603MR0259693
- Mathematical Topics in Fluid Mechanics, Volume 1 (Incompressible Models), Oxford Lecture Series in Mathematics and its Applications 3, Oxford Science Publications, Clarendon Press, Oxford, 1996. (1996) MR1422251
- Weak and Measure-Valued Solutions to Evolutionary PDEs, Applied Mathematics and Mathematical Computation 13, Chapman & Hall, London, 1996. (1996) MR1409366
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.