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Interaction of Rarefaction Waves of the Two-Dimensional Self-Similar Euler Equations

โœ Scribed by Jiequan Li; Yuxi Zheng

Publisher
Springer
Year
2008
Tongue
English
Weight
586 KB
Volume
193
Category
Article
ISSN
0003-9527

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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/

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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