Geodesic
Remark on regularity of weak solutions to the Navier-Stokes equations
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 1, pp. 111-117 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Some results on regularity of weak solutions to the Navier-Stokes equations published recently in [3] follow easily from a classical theorem on compact operators. Further, weak solutions of the Navier-Stokes equations in the space $L^2(0,T,W^{1,3}(\varOmega)^3)$ are regular.
Some results on regularity of weak solutions to the Navier-Stokes equations published recently in [3] follow easily from a classical theorem on compact operators. Further, weak solutions of the Navier-Stokes equations in the space $L^2(0,T,W^{1,3}(\varOmega)^3)$ are regular.
Classification : 35D10, 35Q10, 35Q30, 76D03, 76D05, 76F99
Keywords: Navier-Stokes equations; weak solution; regularity 
@article{CMUC_2001_42_1_a7,
     author = {Skal\'ak, Zden\v{e}k and Ku\v{c}era, Petr},
     title = {Remark on regularity of weak solutions to the {Navier-Stokes} equations},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {111--117},
     year = {2001},
     volume = {42},
     number = {1},
     mrnumber = {1825376},
     zbl = {1038.35061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2001_42_1_a7/}
}
TY  - JOUR
AU  - Skalák, Zdeněk
AU  - Kučera, Petr
TI  - Remark on regularity of weak solutions to the Navier-Stokes equations
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2001
SP  - 111
EP  - 117
VL  - 42
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMUC_2001_42_1_a7/
LA  - en
ID  - CMUC_2001_42_1_a7
ER  - 
%0 Journal Article
%A Skalák, Zdeněk
%A Kučera, Petr
%T Remark on regularity of weak solutions to the Navier-Stokes equations
%J Commentationes Mathematicae Universitatis Carolinae
%D 2001
%P 111-117
%V 42
%N 1
%U http://geodesic.mathdoc.fr/item/CMUC_2001_42_1_a7/
%G en
%F CMUC_2001_42_1_a7
Skalák, Zdeněk; Kučera, Petr. Remark on regularity of weak solutions to the Navier-Stokes equations. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 1, pp. 111-117. http://geodesic.mathdoc.fr/item/CMUC_2001_42_1_a7/