Evidence of singularities for a family of contour dynamics equations
- 18 April 2005
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 102 (17) , 5949-5952
- https://doi.org/10.1073/pnas.0501977102
Abstract
In this work, we show evidence of the existence of singularities developing in finite time for a class of contour dynamics equations depending on a parameter 0 < alpha 0 corresponds to 2D Euler equations, and alpha = 1 corresponds to the surface quasi-geostrophic equation. The singularity is point-like, and it is approached in a self-similar manner.Keywords
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