Geodesic
On an evolutionary nonlinear fluid model in the limiting case
Mathematica Bohemica, Tome 126 (2001) no. 2, pp. 421-428.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.21136/MB.2001.134014
Classification : 35D05, 35Q35, 76D03
Keywords: shear-dependent viscosity; incompressible fluid; global-in-time existence; weak solution 
@article{10_21136_MB_2001_134014,
     author = {Luckhaus, Stephan and M\'alek, Josef},
     title = {On an evolutionary nonlinear fluid model in the limiting case},
     journal = {Mathematica Bohemica},
     pages = {421--428},
     publisher = {mathdoc},
     volume = {126},
     number = {2},
     year = {2001},
     doi = {10.21136/MB.2001.134014},
     mrnumber = {1844280},
     zbl = {0981.35053},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.134014/}
}
TY  - JOUR
AU  - Luckhaus, Stephan
AU  - Málek, Josef
TI  - On an evolutionary nonlinear fluid model in the limiting case
JO  - Mathematica Bohemica
PY  - 2001
SP  - 421
EP  - 428
VL  - 126
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.134014/
DO  - 10.21136/MB.2001.134014
LA  - en
ID  - 10_21136_MB_2001_134014
ER  - 
%0 Journal Article
%A Luckhaus, Stephan
%A Málek, Josef
%T On an evolutionary nonlinear fluid model in the limiting case
%J Mathematica Bohemica
%D 2001
%P 421-428
%V 126
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.134014/
%R 10.21136/MB.2001.134014
%G en
%F 10_21136_MB_2001_134014
Luckhaus, Stephan; Málek, Josef. On an evolutionary nonlinear fluid model in the limiting case. Mathematica Bohemica, Tome 126 (2001) no. 2, pp. 421-428. doi : 10.21136/MB.2001.134014. http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.134014/

Cité par Sources :