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An asymptotic expansion for Stokes waves with viscosity
Authors:Jin Wang
Institution:Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529, USA
Abstract:We use a formal asymptotic analysis to study the effects of weak viscosity on interfacial Stokes waves, which are nonlinear, periodic and steady progressive motions between two incompressible fluids. Our results provide a natural representation of viscous contribution to the motion of Stokes waves.
Keywords:Stokes waves  Asymptotic expansion  Viscous effects  Interfacial motion  Navier-Stokes equations  Wave growth rate
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