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Boundary gradient estimates for subsonic solutions of compressible transonic potential flows

Pages: 573 - 579, Issue Special, September 2007

 Abstract        Full Text (168.1K)              

Eun Heui Kim - Department of Mathematics and Statistics, California State University, Long Beach, Long Beach, CA 90840-1001, United States (email)

Abstract: We establish boundary gradient estimates for a solution for selfsimilar transonic potential flow on the subsonic region. The gradient estimates enable us to verify the ellipticity of the solution in the region. We consider both convex and general domains. We provide the sufficient conditions to show that the flow becomes transonic.

Keywords:  Boundary gradient estimates; transonic potential flow; degenerate; ellipticity; self-similar.
Mathematics Subject Classification:  Primary: 35J70; 35L65 ; Secondary: 35Q35.

Received: September 2006;      Revised: August 2007;      Published: September 2007.