Global Multidimensional Transonic Conic Shock Wave for the Perturbed Supersonic Flow Past a Cone

2009 ◽  
Vol 41 (1) ◽  
pp. 178-218 ◽  
Author(s):  
Xu Gang ◽  
Yin Huicheng
Keyword(s):  
Shock Wave ◽  
Supersonic Flow ◽  
Flow Past

GLOBAL MULTIDIMENSIONAL SHOCK WAVE FOR THE STEADY SUPERSONIC FLOW PAST A THREE-DIMENSIONAL CURVED CONE

2006 ◽  
Vol 04 (02) ◽  
pp. 101-132 ◽  
Author(s):  
ZHOUPING XIN ◽  
HUICHENG YIN
Keyword(s):  
Shock Wave ◽  
Boundary Condition ◽  
Supersonic Flow ◽  
Global Existence ◽  
Three Dimensional ◽  
Flow Equation ◽  
Flow Past ◽  
Existence And Stability ◽  
Whole Space ◽  
Steady Potential

In this paper, we establish the global existence and stability of a multidimensional conic shock wave for three-dimensional steady supersonic flow past an infinite cone. The flow is assumed to be hypersonic and described by a steady potential flow equation. Under an appropriate boundary condition on the curved cone, we show that a pointed shock attached at the vertex of the cone will exist globally in the whole space.

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