Some examples of singular fluid flows

Details Some examples of singular fluid flows Some examples of singular fluid flows

2001-09-06

arxiv.org/abs/math/0109040v1

Mathematics

Analysis of PDEs

14 pages, 1 figure

Scientific paper

We explain the construction of some solutions of the Stokes system with a given set of singular points, in the sense of Caffarelli, Kohn and Nirenberg. By means of a partial regularity theorem (proved elsewhere), it turns out that we are able to show the existence of a suitable weak solution to the Navier-Stokes equations with a singular set of positive one dimensional Hausdorff measure.

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