1999-20

On the two-dimensional gas expansion for compressible Euler equation II. The case 1 < $\gamma$ < 3

by Jiequan Li.

Series: 1999-20, Preprints

MSC:
35L65 Conservation laws
35L67 Shocks and singularities
65M99 None of the above, but in this section
76N15 Gas dynamics, general

Abstract:
This paper is the continuation of Preprint 99-19.
We take into account the existence of global
continuous solutions of two-dimensional
gas expansion for compressible Euler equations
for the case 1 < $\gamma$ < 3. The flow is governed by
a partial differential of second order
in the phase space under irrotationality condition, which can be
further reduced to three inhomogenous linearly degenerate
equations. Then this conclusion is applied to solve the
problem that a wedge of gas expands into a vacuum and
analyze the occurence of shocks in the interaction of
four planar rarefaction waves.

Keywords:
two-dimensional gas expansion, globa