Geodesic
Asymptotic for large time of solutions of a system of equations for surface waves
Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 525-551.

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The asymptotics as $t\to\infty$ is found for solutions of the Cauchy problem for a system of equations of surface waves with dissipation. 
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P. I. Naumkin; I. A. Shishmarev. Asymptotic for large time of solutions of a system of equations for surface waves. Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 525-551. http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a4/

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