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An Example of Finite-time Singularities in the 3d Euler Equations

✍ Scribed by Xinyu He

Publisher
Springer
Year
2006
Tongue
English
Weight
175 KB
Volume
9
Category
Article
ISSN
1422-6928

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πŸ“œ SIMILAR VOLUMES

On the finite-time singularities of the
On the finite-time singularities of the 3D incompressible Euler equations
✍ Dongho Chae πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 158 KB

## Abstract We prove the finite‐time vorticity blowup, in the pointwise sense, for solutions of the 3D incompressible Euler equations assuming some conditions on the initial data and its corresponding solutions near initial time. These conditions are represented by the relation between the deformat

Self-similar singularities of the 3D Eul
Self-similar singularities of the 3D Euler equations
✍ Xinyu He πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 277 KB

Self-similar solutions are considered to the incompressible Euler equations in R 3, where the similarity variable is defined as ~ = x/(T -t) f~ E R a, ~ \_ 0. It is shown that the scaling exponent is bounded above: 3 \_< 1. Requiring [[ui[Β£u < oa and allowing more than one length scale, it is found/