ASYMPTOTIC BEHAVIOUR OF SUPERSONIC FLOW PAST A CONVEXCOMBINED WEDGE

Citation:

Chen Shuxing.ASYMPTOTIC BEHAVIOUR OF SUPERSONIC FLOW PAST A CONVEXCOMBINED WEDGE[J].Chinese Annals of Mathematics B,1998,19(3):255~264
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Authors:

Chen Shuxing;

Foundation:

Project supported by the National Natural Science Foundation of China and the Doctoral Programme Foundation of Institution High Education of China.
Abstract: The supersonic flow past a convex combined wedge is discussed. Here the surface of the wedge is composed of two straight lines connected by a convex smooth curve. Under the assumptions that the shock is weak, the vertex of the wedge is less than a critical value and the difference of the slope of these two lines is small, the author proves the global existence of solution with shock front and obtains the asymptotic behaviour of the solution.

Keywords:

Supersonic flow, Convex combined wedge, Shock, Global solution, Asymptotic behaviour

Classification:

35L60, 76J20
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