Geodesic
Investigation of the Structure of Waves Generated by
Russian journal of nonlinear dynamics, Tome 18 (2022) no. 3, pp. 367-378

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

The wave capillary flow of the surface of an inviscid capillary jet, initiated by a single $\delta$-perturbation of its surface, is studied. It is shown that the wave pattern has a complex structure. The perturbation generates both fast traveling damped waves and a structure of nonpropagating exponentially growing waves. The structure of self-similar traveling waves is investigated. It is shown that there are three independent families of such self-similar solutions. The characteristics of the structure of nonpropagating exponentially growing waves are calculated. The characteristic time of formation of such a structure is determined.
Keywords: instability, capillary flow
Mots-clés : nonviscous jet. 
@article{ND_2022_18_3_a3,
     author = {A. A. Safronov},
     title = {Investigation of the {Structure} of {Waves} {Generated} by},
     journal = {Russian journal of nonlinear dynamics},
     pages = {367--378},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2022_18_3_a3/}
}
TY  - JOUR
AU  - A. A. Safronov
TI  - Investigation of the Structure of Waves Generated by
JO  - Russian journal of nonlinear dynamics
PY  - 2022
SP  - 367
EP  - 378
VL  - 18
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2022_18_3_a3/
LA  - en
ID  - ND_2022_18_3_a3
ER  - 
%0 Journal Article
%A A. A. Safronov
%T Investigation of the Structure of Waves Generated by
%J Russian journal of nonlinear dynamics
%D 2022
%P 367-378
%V 18
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2022_18_3_a3/
%G en
%F ND_2022_18_3_a3
A. A. Safronov. Investigation of the Structure of Waves Generated by. Russian journal of nonlinear dynamics, Tome 18 (2022) no. 3, pp. 367-378. http://geodesic.mathdoc.fr/item/ND_2022_18_3_a3/