On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations
β Scribed by Hou, Thomas Y.; Lei, Zhen; Luo, Guo; Wang, Shu; Zou, Chen
- Book ID
- 121577461
- Publisher
- Springer
- Year
- 2014
- Tongue
- English
- Weight
- 824 KB
- Volume
- 212
- Category
- Article
- ISSN
- 0003-9527
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π SIMILAR VOLUMES
## Abstract We prove the finiteβtime 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
The propagation of Ho¨lder regularity of the solutions to the 3D Euler equations is discussed. Our method is a special semi-linearization of the vorticity equation combined with the classical Schauder interior estimates.