SHOCK DIFFRACTION PROBLEM BY CONVEX CORNERED WEDGES FOR ISOTHERMAL GAS

• 作者: Qin WANG Kyungwoo SONG
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（4）
• 页码范围: 1130-1140
• 页数: 11页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.04.007

摘要

We are concerned with the shock diffraction configuration for isothermal gas mod-eled by the conservation laws of nonlinear wave system.We reformulate the shock diffraction problem into a linear degenerate elliptic equation in a fixed bounded domain.The degeneracy is of Keldysh type—the derivative of a solution blows up at the boundary.We establish the global existence of solutions and prove the C0,1/2-regularity of solutions near the degenerate boundary.We also compare the difference of solutions between the isothermal gas and the polytropic gas.