Differential forms, fluids, and finite models

Details Differential forms, fluids, and finite models Differential forms, fluids, and finite models

2011-02-10

arxiv.org/abs/1102.2245v1

Mathematics

Analysis of PDEs

8 pages. Accepted by Proc. of AMS

Scientific paper

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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