Evidence of singularities for a family of contour dynamics equations | Zendy

Diego Córdoba | Zendy; Marco A. Fontelos | Zendy; Ana M. Mancho | Zendy; José L. Rodrigo | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Evidence of singularities for a family of contour dynamics equations

Author(s) -

Diego Córdoba,

Marco A. Fontelos,

Ana M. Mancho,

José L. Rodrigo

Publication year - 2005

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.0501977102

Subject(s) - gravitational singularity , singularity , euler equations , limiting , dynamics (music) , mathematics , mathematical analysis , class (philosophy) , classical mechanics , physics , computer science , mechanical engineering , artificial intelligence , acoustics , engineering

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research