Nonlinear waves in compacting media-Reference-Cited by-同舟云学术

Nonlinear waves in compacting media

Published:1986-03 Issue: Volume:164 Page:429-448
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Barcilon Victor,Richter Frank M.

Abstract

An investigation of the mathematical model of a compacting medium proposed by McKenzie (1984) for the purpose of understanding the migration and segregation of melts in the Earth is presented. The numerical observation that the governing equations admit solutions in the form of nonlinear one-dimensional waves of permanent shape is confirmed analytically. The properties of these solitary waves are presented, namely phase speed as a function of melt content, nonlinear interaction and conservation quantities. The information at hand suggests that these waves are not solitons.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference12 articles.

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2. Drew, D. A. & Segel, L. A. 1971 Averaged equations for two-phase flows.Stud. Appl. Math. 50,205–231.

3. Olver, P. J. 1979 Euler operators and conservation laws of the BBM equation.Math. Proc. Camb. Phil. Soc. 85,143–160.

4. Drazin, P. G. 1984 Solitons .Cambridge University Press.

5. Hildebrand, F. B. 1956 Introduction to Numerical Analysis. McGraw-Hill.

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