Convection in a slowly diffusing,weakly stratified salt field |
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Institution: | 1. Institute of Geophysics and Planetary Physics, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0225, USA;2. Department of Applied Physics/Division of Applied Mathematics, Columbia University, Room 202 S.W. Mudd, New York, NY 10027, USA |
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Abstract: | We examine thermohaline convection in the small Lewis number limit for a background salt field with a weak gradient. As a result of small diffusivity, the problem cannot be reduced to a simple amplitude equation in the usual manner, but the salt field is described by an advection-diffusion equation coupled to an equation for the amplitude of the convective pattern. |
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