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Local well-posedness of a multidimensional shock wave for the steady supersonic isothermal flow

Local well-posedness of a multidimensional shock wave for the steady supersonic isothermal flow
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摘要 In this paper, we prove the local existence, uniqueness and stability of a supersonic shock for the supersonic isothermal incoming flow past a curved cone. Major difficulties include constructing an appropriate solution and treatincg the Neumann boundary conditions and local stability condition. In this paper, we prove the local existence, uniqueness and stability of a supersonic shock for the supersonic isothermal incoming flow past a curved cone. Major difficulties include constructing an appropriate solution and treatincg the Neumann boundary conditions and local stability condition.
作者 Yuchen Li
出处 《Science China Mathematics》 SCIE CSCD 2018年第3期453-486,共34页 中国科学:数学(英文版)
基金 supported by Scientific Research Fund of Nanjing Institute of Technology (Grant No.YKJ201339) National Natural Science Foundation of China (Grant Nos.11371189 and 11101190) the Priority Academic Program Development of Jiangsu Higher Education Institutions
关键词 steady potential equation isothermal gas supersonic flow multidimensional conic shock local well-posedness local stability condition 稳定性 超声 流动 等温 冲击波 Neumann 多维 边界条件
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