Geodesic
Asymptotic behavior of the solutions of the Whithem's equation for large time
Matematičeskoe modelirovanie, Tome 2 (1990) no. 3, pp. 75-88 
P. I. Naumkin; I. A. Shishmarev. Asymptotic behavior of the solutions of the Whithem's equation for large time. Matematičeskoe modelirovanie, Tome 2 (1990) no. 3, pp. 75-88. http://geodesic.mathdoc.fr/item/MM_1990_2_3_a7/
@article{MM_1990_2_3_a7,
     author = {P. I. Naumkin and I. A. Shishmarev},
     title = {Asymptotic behavior of the solutions of the {Whithem's} equation for large time},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {75--88},
     year = {1990},
     volume = {2},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_3_a7/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Asymptotic behavior of the solutions of the initial-value problem for $t\to\infty$ is found.