The Existence of a Global Weak Solution to the Nonlinear Waterhammer Program
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.75
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book is an exploration of weak global solutions to the nonlinear hyperbolic system that characterizes fluid flow in a pipe. These systems are specifically used to model real-world fluid dynamics where the flow may be subsonic. Their applications span hydraulics, engineering, and other disciplines. The author proves the existence of global weak solutions for initial boundary value problems associated with these systems, which resolves a key obstacle in advancing research in this area. The author's approach will appeal to mathematicians and applied scientists who work on partial differential equations, fluid systems, and the theoretical and computational aspects of continuum mechanics. 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.
Seller Inventory # 9781332950317_0
- Title
- The Existence of a Global Weak Solution to the Nonlinear Waterhammer Program
- Author
- Mitchell Luskin, Blake Temple
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332950310
- ISBN 13
- 9781332950317
- Seller catalogs
- Calculus
Understanding how math helps model real water systems
The book tackles how to build global weak solutions for the nonlinear waterhammer problem, under realistic initial and boundary conditions. It explains how pressure waves form and reflect at boundaries, and how friction and subsonic limits shape the solution.
Two concise paragraphs explain the approach and its value. The work blends theoretical analysis with a practical method, showing how a fractional-step procedure can handle both frictionless flow and friction effects. It also discusses how to ensure the solution respects physical bounds and boundary data, making the math useful for engineers and scientists.- Learn what a weak solution means in this context and how it differs from smoother solutions.
- See how a fractional-step method combines a frictionless step with a friction step to build the solution.
- Understand how boundary conditions and subsonic constraints influence existence and regularity.
- Get a high-level view of how monotonicity conditions help keep the solution stable over time.
"Synopsis" may belong to another edition of this title.
Forgotten Books
London, United Kingdom
AbeBooks seller since June 2, 2021
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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FB &c Ltd
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