Differential forms, fluids, and finite models

Published 10 Feb 2011 in math.AP, math.AT, and math.NA | (1102.2245v1)

Abstract: By rewriting the Navier-Stokes equation in terms of differential forms we give a formulation which is abstracted and reproduced in a finite dimensional setting. We give two examples of these finite models and, in the latter case, prove some approximation results. Some useful properties of these finite models are derived.

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Scott O. Wilson

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