article

Title: The interaction of rarefaction waves of the two-dimensional Euler equations

Authors: Xiao Chen and Yuxi Zheng

Issue: Volume 59 (2010), Issue 1, 231-256

Abstract:

$We construct classical self-similar solutions to the interaction of two arbitrary planar rarefaction waves for the Euler equations in two space dimensions via the characteristics analysis without the hodograph transformations. We succeed in the case that the interaction (half) angle is between $\pi/6$ and $\pi/2$ for gas constant gamma between one and two.$