Viscous potential free-surface flows in a fluid layer of finite depth

Boussinesq, 1895, Lois de l'extinction de la houle en haute mer, C. R. Acad. Sci. Paris, 121, 15 Chen, 2007, Long-time asymptotic behaviour of dissipative Boussinesq systems, Discrete and Continuous Dynamical Systems, 17, 61, 10.3934/dcds.2007.17.509 F. Dias, A.I. Dyachenko, V.E. Zakharov, Theory of weakly damped free-surface flows: a new formulation based on potential flow solutions, (2007), submitted for publication D. Dutykh, F. Dias, Dissipative Boussinesq equations, C. R. Acad. Sci. Paris, Ser. I (2007), in press Dyachenko, 2003, Weak turbulence of gravity waves, JETP Lett., 77, 546, 10.1134/1.1595693 Dyachenko, 2004, Weak turbulent Kolmogorov spectrum for surface gravity waves, Phys. Rev. Lett., 92, 134501, 10.1103/PhysRevLett.92.134501 Joseph, 2004, The dissipation approximation and viscous potential flow, J. Fluid Mech., 505, 365, 10.1017/S0022112004008602 Kakutani, 1975, Effect of viscosity on long gravity waves, J. Phys. Soc. Japan, 39, 237, 10.1143/JPSJ.39.237 Lamb, 1932 Mei, 1994 Zakharov, 2005, Mesoscopic wave turbulence, JETP Lett., 82, 487, 10.1134/1.2150867