Geodesic
Conditions implying regularity of the three dimensional Navier-Stokes equation
Applications of Mathematics, Tome 50 (2005) no. 5, pp. 451-464.

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

We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of a stochastic approach involving Feynman-Kac-like inequalities. As part of our methods, we give a different approach to a priori estimates of Foiaş, Guillopé and Temam.
DOI : 10.1007/s10492-005-0032-0
Classification : 35B65, 35Q30, 46E30, 60H10, 60H30, 76D03, 76D05
Mots-clés : Navier-Stokes equation; vorticity; Prodi-Serrin condition; Beale-Kato-Majda condition; Orlicz norm; stochastic method 
@article{10_1007_s10492_005_0032_0,
     author = {Montgomery-Smith, Stephen},
     title = {Conditions implying regularity of the three dimensional {Navier-Stokes} equation},
     journal = {Applications of Mathematics},
     pages = {451--464},
     publisher = {mathdoc},
     volume = {50},
     number = {5},
     year = {2005},
     doi = {10.1007/s10492-005-0032-0},
     mrnumber = {2160072},
     zbl = {1099.35086},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1007/s10492-005-0032-0/}
}
TY  - JOUR
AU  - Montgomery-Smith, Stephen
TI  - Conditions implying regularity of the three dimensional Navier-Stokes equation
JO  - Applications of Mathematics
PY  - 2005
SP  - 451
EP  - 464
VL  - 50
IS  - 5
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.1007/s10492-005-0032-0/
DO  - 10.1007/s10492-005-0032-0
LA  - en
ID  - 10_1007_s10492_005_0032_0
ER  - 
%0 Journal Article
%A Montgomery-Smith, Stephen
%T Conditions implying regularity of the three dimensional Navier-Stokes equation
%J Applications of Mathematics
%D 2005
%P 451-464
%V 50
%N 5
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.1007/s10492-005-0032-0/
%R 10.1007/s10492-005-0032-0
%G en
%F 10_1007_s10492_005_0032_0
Montgomery-Smith, Stephen. Conditions implying regularity of the three dimensional Navier-Stokes equation. Applications of Mathematics, Tome 50 (2005) no. 5, pp. 451-464. doi : 10.1007/s10492-005-0032-0. https://geodesic-test.mathdoc.fr/articles/10.1007/s10492-005-0032-0/

Cité par Sources :