Accession Number : ADA188148

Title :   On the Barotropic Model of the Ocean Circulation,

Corporate Author : CHICAGO UNIV IL DEPT OF GEOPHYSICAL SCIENCES

Personal Author(s) : Barcilon, V ; Constantin, P ; Titi, E S

PDF Url : ADA188148

Report Date : Jan 1987

Pagination or Media Count : 15

Abstract : This paper is concerned with the question of whether ocean circulation models have unique steady solutions. We consider this question for the simplest such model, namely that of a homogeneous wind-driven ocean, with bottom friction and no topography. We examine the mathematical properties of the solutions of a barotropic, wind driven ocean with bottom friction on both a beta- and f-plane. Except for small Rossby numbers, the uniqueness of the solutions of the corresponding partial differential equations is dependent on an a priori bound for the gradient of the velocity. For the f-plane, two drivings are considered which give rise to explicit, global unique solutions. For large Rossby numbers, a novel nonlocal, nonlinear boundary value problem, which does depend on the beta-effect, is obtained for the circulation.

Descriptors :   *OCEAN MODELS, *WIND, BAROMETRIC PRESSURE, OCEAN BOTTOM, CIRCULATION, FRICTION, GRADIENTS, HOMOGENEITY, MATHEMATICS, MODELS, NUMBERS, OCEANS, PARTIAL DIFFERENTIAL EQUATIONS, SOLUTIONS(GENERAL), STEADY STATE, VELOCITY, AIR WATER INTERACTIONS, OCEAN CURRENTS, ROTATION, VORTICES, BOUNDARIES

Subject Categories : Physical and Dynamic Oceanography
      Meteorology

Distribution Statement : APPROVED FOR PUBLIC RELEASE