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March 2007 An Asymptotic Analysis of Linear Interfacial Motion
Jin Wang
Methods Appl. Anal. 14(1): 1-14 (March 2007).

Abstract

In this paper, we perform an asymptotic study on slightly viscous flows between two immiscible incompressible fluids. The motion is governed by linearized Navier-Stokes equations together with interfacial conditions. A second-order asymptotic expansion with respect to viscosity is obtained by using the method of multiple scales. In particular, viscous decay rate for the interfacial wave amplitude and viscous correction for the phase speed are explicitly identified.

Citation

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Jin Wang. "An Asymptotic Analysis of Linear Interfacial Motion." Methods Appl. Anal. 14 (1) 1 - 14, March 2007.

Information

Published: March 2007
First available in Project Euclid: 14 February 2008

zbMATH: 1141.76020
MathSciNet: MR2392622

Subjects:
Primary: 76D05, 76M45

Rights: Copyright © 2007 International Press of Boston

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Vol.14 • No. 1 • March 2007
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