Accession Number:

AD0733395

Title:

Fourier Analysis of Initial Value Problems for Surface and Internal Waves, II,

Descriptive Note:

Corporate Author:

DENVER RESEARCH INST COLO DIV OF MATHEMATICAL SCIENCES

Personal Author(s):

• Bleistein,Norman
• Cohen,J.
• Hector,D.

Report Date:

1971-01-01

Pagination or Media Count:

49.0

Abstract:

Different types of initial value problems and one moving source problem are considered for a fluid of constant depth and constant Brunt-Vaisala frequency. Two alternate Fourier representations are developed, one appropriate for analysis in terms of transverse propagation of modes, the other appropriate for analysis in terms of three dimensional propagation with reflections from upper and lower surfaces. Asymptotic expansions of these representations are then derived, these representations taking different forms depending upon the nature of the initial data or source. Author

Descriptors:

• *FLUID FLOW
• *BOUNDARY VALUE PROBLEMS
• EQUATIONS OF MOTION
• ASYMPTOTIC SERIES
• INTEGRATION

Subject Categories:

• Numerical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE