@article{Zhu2024, 
author = {Fei Zhu},
title = {Noble-Abel gas diffusion at convex corners of the two-dimensional compressible magnetohydrodynamic system},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {9},
pages = {23786-23811},
keywords = {gas diffusion, convex corner, compressible magnetohydrodynamic system, Noble-Able gas, goursat problem},
url = {https://www.sciopen.com/article/10.3934/math.20241156},
doi = {10.3934/math.20241156},
abstract = {In this paper, we study the expansion of Noble-Abel gas into a vacuum around the convex corner of the two-dimensional compressible magnetohydrodynamic system. We reduce this problem to the interaction of a centered simple wave emanating from the convex corner with a backward planar simple wave. Mathematically, this is a Goursat problem. By using the method of characteristic decomposition and construction of invariant regions, combining  C0 and  C1 estimation as well as hyperbolicity estimation, we obtain the existence of a global classical solution by extending the local classical solution.}
}