Uniqueness and instability of subsonic–sonic potential flow in a convergent approximate nozzle

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Uniqueness and Instability of Subsonic–sonic Potential Flow in a Convergent Approximate Nozzle

We proved uniqueness and instability of the symmetric subsonic– sonic flow solution of the compressible potential flow equation in a surface with convergent areas of cross–sections. Such a surface may be regarded as an approximation of a two–dimensional convergent nozzle in aerodynamics. Mathematically these are uniqueness and nonexistence results of a nonlinear degenerate elliptic equation wit...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2010

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-10-10202-0