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  3. Singularities: Formation, Structure, and Propagation
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  • Publisher:
    Cambridge University Press
    Publication date:
    05 September 2015
    10 September 2015
    ISBN:
    9781316161692
    9781107098411
    9781107485495
    DOI:
    https://doi.org/10.1017/CBO9781316161692
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.87kg, 467 Pages
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.74kg, 470 Pages
    • Subjects:
    Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Physics and Astronomy, Mathematical Physics, Mathematical Modeling and Methods, Nonlinear Science and Fluid Dynamics
    Series:
    Cambridge Texts in Applied Mathematics (53)
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    Subjects:
    Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Physics and Astronomy, Mathematical Physics, Mathematical Modeling and Methods, Nonlinear Science and Fluid Dynamics
    Series:
    Cambridge Texts in Applied Mathematics (53)
    Information

    Book description

    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.

    Reviews

    'The book will serve as an excellent introduction to the field of singularities in continuum mechanics, and a valuable resource for researchers … In short, a wonderful achievement!'

    H. K. Moffatt Source: Journal of Fluid Mechanics

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