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Handbook of Differential Equations

C. M. Dafermos

Published by Elsevier Science & Technology
ISBN 10: 0444532226 / ISBN 13: 9780444532220
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Bibliographic Details

Title: Handbook of Differential Equations

Publisher: Elsevier Science & Technology

Binding: Hardcover

Book Condition: New


2009. 1st Edition. Hardcover. Discusses the directions of development of the field of differential equations with emphasis on applications. This handbook features seven survey articles that present different topics in evolutionary PDE's. It provides a review of various results in the area. Editor(s): Dafermos, C. M.; Pokorny, Milan. Series: Handbook of Differential Equations: Evolutionary Equations. Num Pages: 534 pages, black & white illustrations. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 241 x 175 x 28. Weight in Grams: 1044. . . . . . Books ship from the US and Ireland. Bookseller Inventory # V9780444532220

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Synopsis: Handbook of Differential Equations: Evolutionary Equations is the last text of a five-volume reference in mathematics and methodology. This volume follows the format set by the preceding volumes, presenting numerous contributions that reflect the nature of the area of evolutionary partial differential equations.

The book is comprised of five chapters that feature the following:

A thorough discussion of the shallow-equations theory, which is used as a model for water waves in rivers, lakes and oceans. It covers the issues of modeling, analysis and applications.
Evaluation of the singular limits of reaction-diffusion systems, where the reaction is fast compared to the other processes; and applications that range from the theory of the evolution of certain biological processes to the phenomena of Turing and cross-diffusion instability
Detailed discussion of numerous problems arising from nonlinear optics, at the high-frequency and high-intensity regime
Geometric and diffractive optics, including wave interactions
Presentation of the issues of existence, blow-up and asymptotic stability of solutions, from the equations of solutions to the equations of linear and non-linear thermoelasticity
Answers to questions about unique space, such as continuation and backward uniqueness for linear second-order parabolic equations.

Research mathematicians, mathematics lecturers and instructors, and academic students will find this book invaluable.

- Review of new results in the area
- Continuation of previous volumes in the handbook series covering evolutionary PDEs
- New content coverage of DE applications

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