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SOME NEW UNSOLVED PROBLEMS IN CONNECTION WITH RANDOM PROCESSES OF INTEREST IN GEOPHYSICS
NEW YORK UNIV N Y SCHOOL OF ENGINEERING AND SCIENCE
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