Resonance wave interactions in a weakly viscous liquid

    Authors

    N. C. Kim;L. Debnath

    Comments

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    Abbreviated Journal Title

    Int. J. Non-Linear Mech.

    Keywords

    resonant interactions; non-linear wave; variational method; Mechanics

    Abstract

    A study is made of non-linear wave interactions in a weakly viscous liquid. Using the averaged variational method, new Interaction equations are derived. It is shown that results of this paper reduce to those obtained earlier for weak second-order resonant interactions in the limit as viscosity nu --> 0. The Lax-Wendroff method having second-order accuracy with respect to space and time is chosen for numerical calculations because the method does not depend on the direction of wave propagation or domains of dependence. The non-linear resonant evolution of amplitude triads has been investigated for different values of viscosity, Numerical results with graphical representations are presented in some detail. (C) 1998 Elsevier Science Ltd. All rights reserved.

    Journal Title

    International Journal of Non-Linear Mechanics

    Volume

    34

    Issue/Number

    2

    Publication Date

    1-1-1999

    Document Type

    Article

    Language

    English

    First Page

    197

    Last Page

    220

    WOS Identifier

    WOS:000076754000001

    ISSN

    0020-7462

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