ON THE ASYMPTOTIC BEHAVIOUR OF THE STEADY SUPERSONIC FLOWS AT INFINITY

Citation:

ZHANG Yongqian.ON THE ASYMPTOTIC BEHAVIOUR OF THE STEADY SUPERSONIC FLOWS AT INFINITY[J].Chinese Annals of Mathematics B,2005,26(3):379~392
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Authors:

ZHANG Yongqian;

Foundation:

Project supported by the National Natural Science Foundation of China (No.19701009) and the Ministry of Education of China.
Abstract: This paper studies the asymptotic behaviour of steady supersonic flow past a piecewise smooth corner or bend. Under the hypothese that both vertex angle and the total variation of tangent along the boundary are small, it is shown that the solution can be obtained by a modified Glimm scheme, and that the asymptotic behaviour of the solution is determined by the velocity of incoming flow and the limit of the tangent of the boundary at infinity.

Keywords:

Asymptotic behaviour, Supersonic, Vertex angle, Tangent

Classification:

35L15, 35L20
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