Description: Singularities: Formation, Structure, and Propagation (Cambridge Texts in Applied Mathematics)J. Eggers, M. A. Fontelos Cambridge University Press Paperback Unused and unread, minor cosmetic imperfections such as scuffing or minor creasing. Stamped 'damaged' by publisher to a non-text page. EAN: 9781107485495 Published: 17/09/2015 Language: English Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations. Preface Part I. Setting the Scene 1. What are singularities all about? 2. Blow-up 3. Similarity profile 4. Continuum equations 5. Local singular expansions 6. Asymptotic expansions of PDEs Part II. Formation of Singularities 7. Drop break-up 8. A numerical example drop pinch-off 9. Slow convergence 10. Continuation Part III. Persistent Singularities – Propagation 11. Shock waves 12. The dynamical system 13. Vortices 14. Cusps and caustics 15. Contact lines and cracks Appendix A. Vector calculus Appendix B. Index notation and the summation convention Appendix C. Dimensional analysis References Index. DispatchIn stock here - same-day dispatch from England. My SKU: 3254263RefundsNo-hassle refunds are always available if your book is not as expected.Terms and Conditions of SaleSorry - no collections. All sales are subject to extended Terms and Conditions of Sale as well as the Return Policy and Payment Instructions. Visit my eBay Store for details andmany more books. Template layout and design, "JNC Academic Books", "needbooks", Copyright © JNC INC. Designated trademarks, layouts and brands are the property of their respective owners. All Rights Reserved.
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Number of Pages: 470 Pages
Publication Name: Singularities: Formation, Structure, and Propagation
Language: English
Publisher: Cambridge University Press
Item Height: 227 mm
Subject: Mathematics, Physics
Publication Year: 2015
Type: Textbook
Item Weight: 740 g
Author: J. Eggers, M. A. Fontelos
Item Width: 152 mm
Series: Cambridge Texts in Applied Mathematics
Format: Paperback
