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| On the Existence and Stability of a Global Subsonic Flow in a 3D Infinitely Long Cylindrical Nozzle |
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Citation： |
Gang XU,Huicheng YIN.On the Existence and Stability of a Global Subsonic Flow in a 3D Infinitely Long Cylindrical Nozzle[J].Chinese Annals of Mathematics B,2010,31(2):163~190 |
| Page view： 1753
Net amount： 1876 |
Authors： |
Gang XU; Huicheng YIN; |
Foundation： |
the National Basic Research Program of China (No. 2006CB805902), the National
Natural Science Foundation of China (No. 10871096) and the Research Foundation for Advanced Talents
of Jiangsu University. |
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| Abstract： |
This paper is concerned with the problem on the global existence and stability
of a subsonic flow in an infinitely long cylindrical nozzle for the 3D steady potential flow
equation. Such a problem was indicated by Courant-Friedrichs in [8, p. 377]: A flow
through a duct should be considered as a steady, isentropic, irrotational flow with cylindrical
symmetry and should be determined by solving the 3D potential flow equations with
appropriate boundary conditions. By introducing some suitably weighted H¨older spaces
and establishing a priori estimates, the authors prove the global existence and stability of
a subsonic potential flow in a 3D nozzle when the state of subsonic flow at negative infinity
is given. |
Keywords： |
Subsonic flow, Potential flow equation, Bessel function,Weighted H¨older
space, Global existence |
Classification： |
35L70, 35L65, 35L67, 76N15 |
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