Subsonic solutions to compressible transonic potential problems for isothermal self-similar flows and steady flows |
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Authors: | Eun Heui Kim |
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Affiliation: | Department of Mathematics, California State University, Long Beach, CA 90840-1001, USA |
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Abstract: | We establish boundary and interior gradient estimates, and show that no supersonic bubble appears inside of a subsonic region for transonic potential flows for both self-similar isothermal and steady problems. We establish an existence result for the self-similar isothermal problem, and improve the Hopf maximum principle to show that the flow is strictly elliptic inside of the subsonic region for the steady problem. |
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Keywords: | 35J70 35L65 35Q35 |
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