Geodesic
Study of vortex breakdown in a stratified fluid
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 11, pp. 2081-2098

Voir la notice de l'article provenant de la source Math-Net.Ru

An analysis shows that nonsmooth solutions have to be considered. Weak solutions to the Euler equations describing an incompressible stratified fluid under gravity are defined and studied. The study makes use of a wave energy functional proposed for the nonlinear equations. It is shown that the Euler equations are insufficient for stating a well-posed generalized problem. Additional conditions based on physical considerations are proposed. One condition is energy conservation, and the other is a constraint imposed on the density, which is required for stability. A numerical method is developed that is used to analyze how wave breakdown in a stratified fluid depends on stratification. The numerical results are in satisfactory agreement with experiments. 
@article{ZVMMF_2006_46_11_a12,
     author = {S. P. Kshevetskii},
     title = {Study of vortex breakdown in a~stratified fluid},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2081--2098},
     publisher = {mathdoc},
     volume = {46},
     number = {11},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_11_a12/}
}
TY  - JOUR
AU  - S. P. Kshevetskii
TI  - Study of vortex breakdown in a stratified fluid
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2006
SP  - 2081
EP  - 2098
VL  - 46
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_11_a12/
LA  - ru
ID  - ZVMMF_2006_46_11_a12
ER  - 
%0 Journal Article
%A S. P. Kshevetskii
%T Study of vortex breakdown in a stratified fluid
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2006
%P 2081-2098
%V 46
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_11_a12/
%G ru
%F ZVMMF_2006_46_11_a12
S. P. Kshevetskii. Study of vortex breakdown in a stratified fluid. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 11, pp. 2081-2098. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_11_a12/