Title

Pseudo-Variational Principles And Non-Linear Surface Waves In A Dissipative Fluid

Abstract

This paper is concerned with the evolution of non-linear surface waves in a dissipative fluid. A pseudo-variational principle and the ideas regarding the evolution of a slowly varying wavetrain in a dispersive and dissipative medium are used to develop an averaged Lagrangian method and then to treat the evolution of a modulated finite-amplitude gravity wave on the surface of a dissipative fluid. A modified non-linear Schrödinger equation is derived to describe the modulation of the wave-amplitude in a dissipative medium. It is shown that the effect of dissipation is to stabilize the modulation by reducing the growth rate. © 1990.

Publication Date

1-1-1990

Publication Title

International Journal of Non-Linear Mechanics

Volume

25

Issue

1

Number of Pages

61-65

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/0020-7462(90)90038-B

Socpus ID

45149137658 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/45149137658

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