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Qualitative Estimates For Partial Differential Equations: An Introduction: Engineering Mathematics

Autor J N Flavin, S. Rionero
en Limba Engleză Hardback – 8 noi 1995
Qualitative Estimates For Partial Differential Equations: An Introduction describes an approach to the use of partial differential equations (PDEs) arising in the modelling of physical phenomena. It treats a wide range of differential inequality techniques applicable to problems arising in engineering and the natural sciences, including fluid and solid mechanics, physics, dynamics, biology, and chemistry.
The book begins with an elementary discussion of the fundamental principles of differential inequality techniques for PDEs arising in the solution of physical problems, and then shows how these are used in research.
Qualitative Estimates For Partial Differential Equations: An Introduction is an ideal book for students, professors, lecturers, and researchers who need a comprehensive introduction to qualitative methods for PDEs arising in engineering and the natural sciences.
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Specificații

ISBN-13: 9780849385124
ISBN-10: 0849385121
Pagini: 400
Ilustrații: 1500 equations
Dimensiuni: 178 x 254 x 30 mm
Greutate: 0.88 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Seria Engineering Mathematics


Public țintă

Professional

Cuprins

Part I: Methodology 1. Preliminaries and Fundamental Issues 2. Estimates based on First Order Inequalities is Liapunov Direct Method 3. Estimates based on First Order Inequalities 2: Volume Integral Method 4. Estimates based on Second Order Inequalities 5. Identities Holding along Solutions to Partial Differential Equations: Lagrange Identity Method 6. Weighted Integral Methods Part II: Applications 7. Elliptic Equations 8. Parabolic Equations 9. Hyperbolic, Related Equations, and Others

Recenzii

"...Written carefully and accessibly...Even a specialist in partial differential equations can find something new in this book among the numerous examples."
M.S. Agranovich, Mathematical Reviews, 1997

Descriere

This book deals with the determination of qualitative estimates for solutions of partial differential equations subject to boundary and/or initial conditions. It is suitable for senior undergraduates, first year postgraduates, and for others contemplating research in partial differential equations.