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The problem of calculating continuous transonic flow past such an airfoil was shown by C. Morawetz [20] to be not well posed.
Motivated by the method of complex characteristics, a transonic boundary value problem was developed in [9] for a certain domain obtained by analytic extension to complex values of the independent variables. Complex conjugate characteristic coordinates E and n were introduced. In these coordinates the stream function is real in the subsonic domain but complex otherwise. The new boundary value problem is set by prescribing the real part of on the boundary of the unit circle. This problem has, as yet, not been shown to be well posed, although its numerical solution was found successfully. Our contribution will be to show that a corresponding problem for the Tricomi equation is well posed.
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A Well Posed Boundary Value Problem in Transonic Gas Dynamics Classic Reprint
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781330155950
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A Well Posed Boundary Value Problem in Transonic Gas Dynamics (Classic Reprint)
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Paperback. Condizione: New. Print on Demand. This book explores the physical properties of the Tricomi equation within a context of broader mathematical theory. The author presents key concepts to derive a solution to the boundary value problem for the transformed equation, opening up avenues of solving other similar boundary value problems. The solution gives insight into the mathematical modeling of fluid flow in transonic gas dynamics. It presents an important theoretical foundation in applied mathematics and mathematical physics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781330155950_0
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