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Analysis of Singularities for Partial Differential Equations

2011 Mathematics
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Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 832/5 ( reviews)

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Book Synopsis Analysis of Singularities for Partial Differential Equations by : Shuxing Chen

Download or read book Analysis of Singularities for Partial Differential Equations written by Shuxing Chen. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks.

Seminar on Singularities of Solutions of Linear Partial Differential Equations

1978 Mathematics
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Release : 1978
Genre : Mathematics
Kind : eBook
Book Rating : 138/5 ( reviews)

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Book Synopsis Seminar on Singularities of Solutions of Linear Partial Differential Equations by : George F. Oster

Download or read book Seminar on Singularities of Solutions of Linear Partial Differential Equations written by George F. Oster. This book was released on 1978. Available in PDF, EPUB and Kindle. Book excerpt: Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 1977-1978. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the non-specialist.

Singularities in PDE and the Calculus of Variations

Mathematics
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Release :
Genre : Mathematics
Kind : eBook
Book Rating : 311/5 ( reviews)

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Book Synopsis Singularities in PDE and the Calculus of Variations by : Stanley Alama

Download or read book Singularities in PDE and the Calculus of Variations written by Stanley Alama. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers presented at the "Workshop on Singularities in PDE and the Calculus of Variations" at the CRM in July 2006. The main theme of the meeting was the formation of geometrical singularities in PDE problems with a variational formulation. These equations typically arise in some applications (to physics, engineering, or biology, for example) and their resolution often requires a combination of methods coming from areas such as functional and harmonic analysis, differential geometry and geometric measure theory. Among the PDE problems discussed were: the Cahn-Hilliard model of phase transitions and domain walls; vortices in Ginzburg-Landau type models for superconductivity and superfluidity; the Ohna-Kawasaki model for di-block copolymers; models of image enhancement; and Monge-Ampere functions. The articles give a sampling of problems and methods in this diverse area of mathematics, which touches a large part of modern mathematics and its applications.

Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91

2016-03-02 Mathematics
Download Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 PDF Online Free

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Release : 2016-03-02
Genre : Mathematics
Kind : eBook
Book Rating : 587/5 ( reviews)

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Book Synopsis Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 by : Lars Hörmander

Download or read book Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 written by Lars Hörmander. This book was released on 2016-03-02. Available in PDF, EPUB and Kindle. Book excerpt: Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 1977-1978. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the non-specialist.

Singularities: Formation, Structure, and Propagation

2015-09-10 Mathematics
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Release : 2015-09-10
Genre : Mathematics
Kind : eBook
Book Rating : 390/5 ( reviews)

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Book Synopsis Singularities: Formation, Structure, and Propagation by : J. Eggers

Download or read book Singularities: Formation, Structure, and Propagation written by J. Eggers. This book was released on 2015-09-10. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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