Differential forms, fluids, and finite models

Wilson, Scott

doi:10.1090/S0002-9939-2011-11003-7

Differential forms, fluids, and finite models
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by Scott O. Wilson PDF

Proc. Amer. Math. Soc. 139 (2011), 2597-2604 Request permission

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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