Models for damped water wave
Rafael Granero-Belinchón, Stefano Scrobogna
Abstract
In this paper we derive some new weakly nonlinear asymptotic models describing viscous waves in deep water with or without surface tension effects. These asymptotic models take into account several different dissipative effects and are obtained from the free boundary problems formulated in the works of Dias, Dyachenko, and Zakharov [Phys. Lett. A, 372 (2008), pp. 1297--1302], Jiang et al. [J. Fluid Mech., 329 (1996), pp. 275--307], and Wu, Liu and Yue [J. Fluid Mech., 556 (2006), pp. 45--54].
Topics & Concepts
Dissipative systemNonlinear systemSurface tensionMathematicsBoundary (topology)Boundary value problemPhysicsMathematical analysisMathematical physicsClassical mechanicsThermodynamicsQuantum mechanicsOcean Waves and Remote SensingCoastal and Marine DynamicsArctic and Antarctic ice dynamics