An asymptotic expansion for Stokes waves with viscosity |
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Authors: | Jin Wang |
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Institution: | Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529, USA |
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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. |
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Keywords: | Stokes waves Asymptotic expansion Viscous effects Interfacial motion Navier-Stokes equations Wave growth rate |
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