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On the Self-Similar Solutions of the 3D Euler and the Related Equations

โœ Scribed by Dongho Chae


Publisher
Springer
Year
2011
Tongue
English
Weight
245 KB
Volume
305
Category
Article
ISSN
0010-3616

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Self-similar singularities of the 3D Eul
โœ Xinyu He ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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[ยฃu < oa and allowing more than one length scale, it is found/

Computational Methods for Self-similar S
โœ Ravi Samtaney ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 894 KB

as an initial value problem with appropriate boundary conditions. In this paper, we seek the self-similar solutions Computations of self-similar solutions of the compressible Euler equations as a boundary value problem in similarity coordinates of the compressible Euler equations as a boundary value