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Research Article Open access CC BY 4.0

3-Dimensional Compressible Euler Equations

Rong Rong

Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 12 Feb 2019

10.9734/JAMCS/2019/46791

Abstract

This article mainly divides into two parts. In the first part, We find a new system by using the plane wave transform and self-similar transform, then we give the exact solution by using the Cardan formula. In the second part, assuming the original equation exist weak solution, when γ→1, it will tend to the weak solution of the limit equation, that is to say the original equation has the limiting behavior. 

Compressible exact solution self-similar solution

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