Accession Number : AD0272125

Title :   SOME NEW UNSOLVED PROBLEMS IN CONNECTION WITH RANDOM PROCESSES OF INTEREST IN GEOPHYSICS

Corporate Author : NEW YORK UNIV N Y SCHOOL OF ENGINEERING AND SCIENCE

Personal Author(s) : PIERSON,WILLARD J. JR.

Report Date : JAN 1962

Pagination or Media Count : 1

Abstract : Problems in fluid motion start with a set of nonlinear equations to describe the motion. When expanded according to certain perturbation procedures, systems of linear equations can be obtained that are subject to solution by standard mathematical techniques. The Eulerian and Lagrangian forms of the equations of motion for a perfect fluid and the Lagrangian form of the Navier-Stokes equations have been subjected to such analyses. The linear solutions can be superposed to produce vector Gaussian processes that correspond in many ways to what is observed when ocean waves and turbulence are studied. Moreover the Lagrangian equations lead to what might be called parameterized random processes that appear to be new. (Author)

Descriptors :   *FLUID FLOW, *OCEAN WAVES, *STATISTICAL PROCESSES, EQUATIONS, GEOPHYSICS, INTEGRAL TRANSFORMS, MOTION, OCEANOGRAPHY, PARTIAL DIFFERENTIAL EQUATIONS, PERTURBATION THEORY, PHYSICAL PROPERTIES, PRESSURE, TRANSFORMATIONS (MATHEMATICS), TURBULENCE, VELOCITY, VISCOSITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE