@article{Yao2022, 
author = {Aidi Yao},
title = {Two-dimensional pseudo-steady supersonic flow around a sharp corner for the generalized Chaplygin gas},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {7},
pages = {11732-11758},
keywords = {two-dimensional Euler equations, generalized Chaplygin gas, pseudo-steady supersonic flow, incomplete centered simple wave, interaction of simple wave with rigid wall boundary},
url = {https://www.sciopen.com/article/10.3934/math.2022654},
doi = {10.3934/math.2022654},
abstract = {In this paper, the expansion problem which arises in a two-dimensional (2D) isentropic pseudo-steady supersonic flow expanding into vacuum around a sharp corner for the generalized Chaplygin gas is studied. This expanding problem catches the interaction of an incomplete centered simple wave with a backward planar rarefaction wave and the interaction of a non-planar simple wave with a rigid wall boundary of the 2D self-similar Euler equations. Using the methods of characteristic decompositions and invariant regions, we get the hyperbolicity in the wave interaction domains and prior        C          1       estimates of solutions to the two interaction problems. It follows the global existence of the solution up to infinity of the gas expansion problem.}
}