Singularities: Formation, Structure, and Propagation

✍ Scribed by J. Eggers, M. A. Fontelos

Publisher: Cambridge University Press
Year: 2015
Tongue: English
Leaves: 470
Series: Cambridge Texts in Applied Mathematics
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Content: 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.

✦ Subjects

Differential Equations;Applied;Mathematics;Science & Math;Topology;Geometry & Topology;

📜 SIMILAR VOLUMES

Singularities: Formation, Structure, and

📁 Singularities: Formation, Structure, and Propagation

✍ J. Eggers, M. A. Fontelos 📂 Library 📅 2015 🏛 Cambridge University Press 🌐 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

Coagulation: Kinetics, Structure Formati

📁 Coagulation: Kinetics, Structure Formation and Disorders : Kinetics, Structure Formation and Disorders

✍ Anett M. Taloyan; David S. Bankiewicz 📂 Library 📅 2012 🏛 Nova Science Publishers, Incorporated 🌐 English

This book presents topical research in the study of the kinetics, structure formation and disorders related to coagulation. Topics discussed include Brownian coagulation and diffusion-limited reactions; deregulation of coagulation during sepsis-induced disseminated intravascular coagulation; substra

Mixed Hodge Structures and Singularities

📁 Mixed Hodge Structures and Singularities

✍ Valentine S. Kulikov 📂 Library 📅 1998 🏛 Cambridge University Press 🌐 English

This vital work is both an introduction to, and a survey of singularity theory, in particular, studying singularities by means of differential forms. Here, some ideas and notions that arose in global algebraic geometry, namely mixed Hodge structures and the theory of period maps, are developed in th

Mixed Hodge structures and singularities

📁 Mixed Hodge structures and singularities

✍ Valentine S. Kulikov 📂 Library 📅 1998 🏛 CUP 🌐 English

Mixed Hodge structures and singularities

📁 Mixed Hodge structures and singularities

✍ Valentine S. Kulikov 📂 Library 📅 1998 🏛 Cambridge University Press 🌐 English

This book is both an introduction to, and a survey of, some topics of singularity theory; in particular the studying singularities by means of differential forms. Using the language of algebraic geometry, the author strikes a balance between the traditional approach to the subject, and the more abst

Singularities in Linear Wave Propagation

📁 Singularities in Linear Wave Propagation

✍ Lars Garding 📂 Library 📅 1987 🏛 Springer 🌐 English

These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating