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Evidence of singularities for a family of contour dynamics equations.
- Source :
-
Proceedings of the National Academy of Sciences of the United States of America [Proc Natl Acad Sci U S A] 2005 Apr 26; Vol. 102 (17), pp. 5949-52. Date of Electronic Publication: 2005 Apr 18. - Publication Year :
- 2005
-
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 </= 1. The limiting case 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.
Details
- Language :
- English
- ISSN :
- 0027-8424
- Volume :
- 102
- Issue :
- 17
- Database :
- MEDLINE
- Journal :
- Proceedings of the National Academy of Sciences of the United States of America
- Publication Type :
- Academic Journal
- Accession number :
- 15837929
- Full Text :
- https://doi.org/10.1073/pnas.0501977102