Instabilities And Fronts In Extended Systems

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Instabilities And Fronts In Extended Systems

Author : Pierre Collet
ISBN : 9781400861026
Genre : Science
File Size : 42.86 MB
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The physics of extended systems is a topic of great interest for the experimentalist and the theoretician alike. There exists a large literature on this subject in which solutions, bifurcations, fronts, and the dynamical stability of these objects are discussed. To the uninitiated reader, the theoretical methods that lead to the various results often seem somewhat ad hoc, and it is not clear how to generalize them to the nextthat is, not yet solvedproblem. In an introduction to the subject of instabilities in spatially infinite systems, Pierre Collet and Jean-Pierre Eckmann aim to give a systematic account of these methods, and to work out the relevant features that make them operational. The book examines in detail a number of model equations from physics. The mathematical developments of the subject are based on bifurcation theory and on the theory of invariant manifolds. These are combined to give a coherent description of several problems in which instabilities occur, notably the Eckhaus instability and the formation of fronts in the Swift-Hohenberg equation. These phenomena can appear only in infinite systems, and this book breaks new ground as a systematic account of the mathematics connected with infinite space domains. Originally published in 1990. 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.
Category: Science

Physics Briefs

Author :
ISBN : UOM:39015027832958
Genre : Physics
File Size : 61.12 MB
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Category: Physics

New Technical Books

Author : New York Public Library
ISBN : UOM:39015063566254
Genre : Engineering
File Size : 27.89 MB
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Category: Engineering

Nonlinearity

Author :
ISBN : UIUC:30112028752464
Genre : Mathematical analysis
File Size : 39.38 MB
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Category: Mathematical analysis

Author :
ISBN : UOM:39015053967470
Genre : Mathematics
File Size : 68.72 MB
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Category: Mathematics

Mathematical Reviews

Author :
ISBN : UOM:39015082440887
Genre : Mathematics
File Size : 62.28 MB
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Category: Mathematics

The Cumulative Book Index

Author :
ISBN : UOM:39015058373823
Genre : American literature
File Size : 73.54 MB
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A world list of books in the English language.
Category: American literature

Nonlinear Waves

Author : Rentaro Agemi
ISBN : UOM:39015060918524
Genre : Nonlinear waves
File Size : 52.45 MB
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Category: Nonlinear waves

Journal Of Physics A

Author :
ISBN : UCAL:B4491328
Genre : Mathematical physics
File Size : 61.33 MB
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Category: Mathematical physics

Differential Equations And Mathematical Physics

Author : Ian W. Knowles
ISBN : CORNELL:31924080694205
Genre : Differential equations
File Size : 34.12 MB
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200 mathematicians from four continents attended the conference of ""Differential Equations and Mathematical Physics"" in Alabama, USA. Among the fields discussed were ordinary, partial, intergrated and non-linear differential equations and their applications to mathematical physics.
Category: Differential equations

Complex Systems

Author : Horacio S. Wio
ISBN : UCSD:31822036071686
Genre : Computational complexity
File Size : 20.77 MB
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Category: Computational complexity

More Surprises In Theoretical Physics

Author : Rudolf Peierls
ISBN : 0691025223
Genre : Science
File Size : 52.58 MB
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Like its predecessor, this book by the renowned physicist Sir Rudolf Peierls draws from many diverse fields of theoretical physics to present problems in which the answer differs from what our intuition had led us to expect. In some cases an apparently convincing approximation turns out to be misleading; in others a seemingly unmanageable problem turns out to have a simple answer. Peierls's intention, however, is not to treat theoretical physics as an unpredictable game in which such surprises happen at random. Instead he shows how in each case careful thought could have prepared us for the outcome. Peierls has chosen mainly problems from his own experience or that of his collaborators, often showing how classic problems can lend themselves to new insights. His book is aimed at both graduate students and their teachers. Praise for Surprises in Theoretical Physics: "A beautiful piece of stimulating scholarship and a delight to read. Physicists of all kinds will learn a great deal from it."--R. J. Blin-Stoyle, Contemporary Physics
Category: Science

Quantum And Non Commutative Analysis

Author : Huzihiro Araki
ISBN : 079232532X
Genre : Science
File Size : 34.85 MB
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In the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc. on the side of mathematics, quantum field theory and statistical mechanics on the side of mathematical physics. The new development is characterized by very strong relations and interactions between different research areas which were hitherto considered as remotely related. Focussing on these new developments in mathematical physics and theory of operator algebras, the International Oji Seminar on Quantum Analysis was held at the Kansai Seminar House, Kyoto, JAPAN during June 25-29, 1992 by a generous sponsorship of the Japan Society for the Promotion of Science and the Fujihara Foundation of Science, as a workshop of relatively small number of (about 50) invited participants. This was followed by an open Symposium at RIMS, described below by its organizer, A. Kishimoto. The Oji Seminar began with two key-note addresses, one by V.F.R. Jones on Spin Models in Knot Theory and von Neumann Algebras and by A. Jaffe on Where Quantum Field Theory Has Led. Subsequently topics such as Subfactors and Sector Theory, Solvable Models of Statistical Mechanics, Quantum Field Theory, Quantum Groups, and Renormalization Group Ap proach, are discussed. Towards the end, a panel discussion on Where Should Quantum Analysis Go? was held.
Category: Science