Geodesic
The~Phillips spectrum and a~model of wind-wave dissipation
Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 3, pp. 353-363

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

We consider an extension of the kinetic equation developed by Newell and Zakharov in 2008. The new equation takes not only the resonant four-wave interactions but also the dissipation associated with the wave breaking into account. In the equation, we introduce a dissipation function that depends on the spectral energy flux. This function is determined up to a functional parameter, which should be optimally chosen based on a comparison with experiment. A kinetic equation with this dissipation function describes the usually experimentally observed transition from the Kolmogorov–Zakharov spectrum $E(\omega)\sim\omega^{-4}$ to the Phillips spectrum $E(\omega)\sim \omega^{-5}$. The version of the dissipation function expressed in terms of the energy spectrum can be used in problems of numerically modeling and predicting sea waves.
Keywords: Phillips spectrum, kinetic (Hasselmann) equation for water waves, Kolmogorov–Zakharov spectrum. 
@article{TMF_2020_202_3_a2,
     author = {S. I. Badulin and V. E. Zakharov},
     title = {The~Phillips spectrum and a~model of wind-wave dissipation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {353--363},
     publisher = {mathdoc},
     volume = {202},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_202_3_a2/}
}
TY  - JOUR
AU  - S. I. Badulin
AU  - V. E. Zakharov
TI  - The~Phillips spectrum and a~model of wind-wave dissipation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2020
SP  - 353
EP  - 363
VL  - 202
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2020_202_3_a2/
LA  - ru
ID  - TMF_2020_202_3_a2
ER  - 
%0 Journal Article
%A S. I. Badulin
%A V. E. Zakharov
%T The~Phillips spectrum and a~model of wind-wave dissipation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2020
%P 353-363
%V 202
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2020_202_3_a2/
%G ru
%F TMF_2020_202_3_a2
S. I. Badulin; V. E. Zakharov. The~Phillips spectrum and a~model of wind-wave dissipation. Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 3, pp. 353-363. http://geodesic.mathdoc.fr/item/TMF_2020_202_3_a2/