The supersonic flow onto a curved wedge with magnetic effect

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:477

Article

Chen, Jianjun¹  Hu, Dian² 

[1] Zhejiang Univ Sci & Technol, Dept Math, Hangzhou 310023, Zhejiang, Peoples R China

[2] East China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China

关键词: Euler equation;    Magnetohydrodynamic equation;    Degenerate solution;    Characteristic decompositions;    Free boundary value problem;   

DOI  :  10.1016/j.jmaa.2019.04.036

来源: Elsevier

【 摘 要 】

In this paper, for the two-dimensional (2D) steady compressible magnetohydrodynamic equations, we construct a global piecewise smooth solution for a supersonic flow past a wedge with a large bended boundary. The uniform bounds are obtained by using the method of characteristic decompositions. Thus, we present a set of the characteristic decompositions for 2D steady magnetohydrodynamic equations. Then, under the assumption that the incoming flow has a limit speed, we could construct a degenerate solution and treat it as the background solution to obtain the piecewise smooth solution. (C) 2019 Published by Elsevier Inc.

【 授权许可】

Free