Singularities and Oscillations

Singularities and Oscillations PDF Author: Jeffrey Rauch
Publisher: Springer Science & Business Media
ISBN: 1461219728
Category : Science
Languages : en
Pages : 161

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Book Description
This volume contains a multiplicity of approaches brought to bear on problems varying from the formation of caustics and the propagation of waves at a boundary, to the examination of viscous boundary layers. It examines the foundations of the theory of high- frequency electromagnetic waves in a dielectric or semiconducting medium. Nor are unifying themes entirely absent from nonlinear analysis: one chapter considers microlocal analysis, including paradifferential operator calculus, on Morrey spaces, and connections with various classes of partial differential equations.

Singularities and Oscillations

Singularities and Oscillations PDF Author: Jeffrey Rauch
Publisher: Springer Science & Business Media
ISBN: 1461219728
Category : Science
Languages : en
Pages : 161

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Book Description
This volume contains a multiplicity of approaches brought to bear on problems varying from the formation of caustics and the propagation of waves at a boundary, to the examination of viscous boundary layers. It examines the foundations of the theory of high- frequency electromagnetic waves in a dielectric or semiconducting medium. Nor are unifying themes entirely absent from nonlinear analysis: one chapter considers microlocal analysis, including paradifferential operator calculus, on Morrey spaces, and connections with various classes of partial differential equations.

Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics

Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics PDF Author: Ferruccio Colombini
Publisher: Springer
ISBN: 3319520423
Category : Mathematics
Languages : en
Pages : 313

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Book Description
The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, September 14-18, 2015. The contributions discuss recent major advances in the study of nonlinear hyperbolic systems, addressing general theoretical issues such as symmetrizability, singularities, low regularity or dispersive perturbations. It also investigates several physical phenomena where such systems are relevant, such as nonlinear optics, shock theory (stability, relaxation) and fluid mechanics (boundary layers, water waves, Euler equations, geophysical flows, etc.). It is a valuable resource for researchers in these fields.

Singularities of Differentiable Maps

Singularities of Differentiable Maps PDF Author: V.I. Arnold
Publisher: Springer Science & Business Media
ISBN: 9780817631871
Category : Mathematics
Languages : en
Pages : 512

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Book Description
... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After the first five or six lectures one already holds the brightest hopes, already sees oneself as a seeker after truth. I too have wholeheartedly pursued science passionately, as one would a beloved woman. I was a slave, and sought no other sun in my life. Day and night I crammed myself, bending my back, ruining myself over my books; I wept when I beheld others exploiting science fot personal gain. But I was not long enthralled. The truth is every science has a beginning, but never an end - they go on for ever like periodic fractions. Zoology, for example, has discovered thirty-five thousand forms of life ... A. P. Chekhov. "On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps. This theory is a young branch of analysis which currently occupies a central place in mathematics; it is the crossroads of paths leading from very abstract corners of mathematics (such as algebraic and differential geometry and topology, Lie groups and algebras, complex manifolds, commutative algebra and the like) to the most applied areas (such as differential equations and dynamical systems, optimal control, the theory of bifurcations and catastrophes, short-wave and saddle-point asymptotics and geometrical and wave optics).

Introduction to Theoretical and Computational Fluid Dynamics

Introduction to Theoretical and Computational Fluid Dynamics PDF Author: Constantine Pozrikidis
Publisher: Oxford University Press
ISBN: 0199752079
Category : Computers
Languages : en
Pages : 1274

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Book Description
This book discusses the fundamental principles and equations governing the motion of incompressible Newtonian fluids, and simultaneously introduces numerical methods for solving a broad range of problems. Appendices provide a wealth of information that establishes the necessary mathematical and computational framework.

Nonlinear Oscillations in Physical Systems

Nonlinear Oscillations in Physical Systems PDF Author: Chihiro Hayashi
Publisher: Princeton University Press
ISBN: 1400852870
Category : Science
Languages : en
Pages : 405

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Book Description
This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Singular Problems in Shell Theory

Singular Problems in Shell Theory PDF Author: Evariste Sanchez-Palencia
Publisher: Springer Science & Business Media
ISBN: 3642138152
Category : Science
Languages : en
Pages : 272

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Book Description
This book deals with various aspects in relation with thin shell theory: general geometric formalism of shell theory, analysis of singularities, numerical computing of thin shell problems, mathematical considerations on boundary values problems.

Singularities of Differentiable Maps, Volume 2

Singularities of Differentiable Maps, Volume 2 PDF Author: Elionora Arnold
Publisher: Springer Science & Business Media
ISBN: 0817683437
Category : Mathematics
Languages : en
Pages : 500

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Book Description
​​The present volume is the second in a two-volume set entitled Singularities of Differentiable Maps. While the first volume, subtitled Classification of Critical Points and originally published as Volume 82 in the Monographs in Mathematics series, contained the zoology of differentiable maps, that is, it was devoted to a description of what, where, and how singularities could be encountered, this second volume concentrates on elements of the anatomy and physiology of singularities of differentiable functions. The questions considered are about the structure of singularities and how they function.

Mathematical Models with Singularities

Mathematical Models with Singularities PDF Author: Pedro J. Torres
Publisher: Springer
ISBN: 9462391068
Category : Mathematics
Languages : en
Pages : 130

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Book Description
The book aims to provide an unifying view of a variety (a 'zoo') of mathematical models with some kind of singular nonlinearity, in the sense that it becomes infinite when the state variable approaches a certain point. Up to 11 different concrete models are analyzed in separate chapters. Each chapter starts with a discussion of the basic model and its physical significance. Then the main results and typical proofs are outlined, followed by open problems. Each chapter is closed by a suitable list of references. The book may serve as a guide for researchers interested in the modelling of real world processes.

Handbook of Geometry and Topology of Singularities V: Foliations

Handbook of Geometry and Topology of Singularities V: Foliations PDF Author: Felipe Cano
Publisher: Springer Nature
ISBN: 3031524810
Category :
Languages : en
Pages : 531

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Book Description


Oscillation, Bifurcation and Chaos

Oscillation, Bifurcation and Chaos PDF Author: F. V. Atkinson
Publisher: American Mathematical Soc.
ISBN: 9780821860137
Category : Mathematics
Languages : en
Pages : 732

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Book Description
The year 1986 marked the sesquicentennial of the publication in 1836 of J Sturm's memoir on boundary value problems for second order equations. In July 1986, the Canadian Mathematical Society sponsored the International Conference on Oscillation, Bifurcation and Chaos. This volume contains the proceedings of this conference.