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2007, 2007(Special): 573-579. doi: 10.3934/proc.2007.2007.573

Boundary gradient estimates for subsonic solutions of compressible transonic potential flows

Eun Heui Kim 1,

1. 

Department of Mathematics and Statistics, California State University, Long Beach, Long Beach, CA 90840-1001, United States

Received  September 2006 Revised  August 2007 Published  September 2007

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: 35Q3.
Citation: Eun Heui Kim. Boundary gradient estimates for subsonic solutions of compressible transonic potential flows. Conference Publications, 2007, 2007 (Special) : 573-579. doi: 10.3934/proc.2007.2007.573
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