Geodesic
On rotational waves of greatest height on water of finite depth
Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 2, pp. 107-112

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

In this note we discuss some recent results on extreme steady waves under gravity. They include the existence and regularity theorems for highest waves on finite depth with and without vorticity. Furthermore, we state new results concerning the asymptotic behavior of surface profiles near stagnation points. In particular, we find that the wave profile of an extreme wave is concave near each crest, provided that the vorticity is negative near the surface. 
@article{FAA_2021_55_2_a8,
     author = {V. A. Kozlov and E. \`E. Lokharu},
     title = {On rotational waves of greatest height on water of finite depth},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {107--112},
     publisher = {mathdoc},
     volume = {55},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2021_55_2_a8/}
}
TY  - JOUR
AU  - V. A. Kozlov
AU  - E. È. Lokharu
TI  - On rotational waves of greatest height on water of finite depth
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2021
SP  - 107
EP  - 112
VL  - 55
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2021_55_2_a8/
LA  - ru
ID  - FAA_2021_55_2_a8
ER  - 
%0 Journal Article
%A V. A. Kozlov
%A E. È. Lokharu
%T On rotational waves of greatest height on water of finite depth
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2021
%P 107-112
%V 55
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2021_55_2_a8/
%G ru
%F FAA_2021_55_2_a8
V. A. Kozlov; E. È. Lokharu. On rotational waves of greatest height on water of finite depth. Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 2, pp. 107-112. http://geodesic.mathdoc.fr/item/FAA_2021_55_2_a8/