Accession Number : AD0606792

Title :   SOLITARY WAVES IN COMPRESSIBLE MEDIA,

Corporate Author : NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s) : Shen,M. C.

Report Date : JUL 1964

Pagination or Media Count : 105

Abstract : Solitary waves in compressible media of finite depth and infinite depth are studied. The critical speeds are first obtained from the linearized equations and then confirmed by the results of the nonlinear theory. Explicit expressions for the solitary waves are established by a perturbation scheme applied to the nonlinear equations. The case of a polytropic compressible medium of finite depth at rest in the state of equilibrium is studied. Solitary waves in compressible medium of infinite depth are investigated. The former concerns two isothermal layers at rest in the state of equilibrium separated by a contact surface; the latter, an isothermal layer with non-uniform velocity distribution at equilibrium. It is found that solitary waves vanish at certain values of characteristic parameters introduced in each case, and especially no solitary wave solution exists for an isothermal layer of infinite depth. (Author)

Descriptors :   (*COMPRESSIBLE FLOW, MATHEMATICAL ANALYSIS), BOUNDARY LAYER, NONLINEAR SYSTEMS, LINEAR SYSTEMS, SURFACES, EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE