Synopsis
Understand how boundary value problems for mixed elliptic-hyperbolic equations are made well posed
This book explores the Tricomi equation and its use in transonic gas dynamics. It explains how complex characteristics and analytic extensions can reformulate difficult flow problems into tractable boundary value problems. The author develops explicit representations, Green’s functions, and reflection principles that help ensure unique, stable solutions.
Readers will see how to frame boundary conditions on curved domains, work with transformed coordinates, and apply analytic techniques to obtain solutions that are real and well defined. The text connects theory to the practical problem of calculating smooth transonic flows around airfoils, highlighting both the mathematics and its physical motivation.
- Derivation and interpretation of the Tricomi equation in the transonic context
- Construction of boundary value problems with mixed elliptic-hyperbolic type
- Use of complex characteristics, analytic continuation, and Green’s functions
- Explicit solution representations and reflection laws for domain boundaries
Ideal for readers of advanced applied mathematics and fluid dynamics who want a rigorous, applicable treatment of well-posed boundary value problems.
"synopsis" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for A Well Posed Boundary Value Problem in Transonic Gas...
Seller Image
A Well Posed Boundary Value Problem in Transonic Gas Dynamics (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: 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. Seller Inventory # 9781330155950_0
Buy New
US$ 17.62
Free Shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
A Well Posed Boundary Value Problem in Transonic Gas Dynamics Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330155950
Stock Image
A Well Posed Boundary Value Problem in Transonic Gas Dynamics Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330155950
Buy New
US$ 23.91
US$ 4.36 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 15 available