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Nonexistence of asymptotically self-similar singularities in the Euler and the Navier–Stokes equations

✍ Scribed by Dongho Chae

Publisher
Springer
Year
2007
Tongue
English
Weight
251 KB
Volume
338
Category
Article
ISSN
0025-5831

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📜 SIMILAR VOLUMES

Self-similar singularities of the 3D Eul
Self-similar singularities of the 3D Euler equations
✍ Xinyu He 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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[£u < oa and allowing more than one length scale, it is found/