Asymptotics In Dynamics Geometry And Pdes

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Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation

Author : Ovidiu Costin
Publisher : Springer Science & Business Media
ISBN 13 : 8876423796
Total Pages : 273 pages
Book Rating : 4.8/5 (764 download)

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Book Synopsis Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation by : Ovidiu Costin

Download or read book Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation written by Ovidiu Costin and published by Springer Science & Business Media. This book was released on 2011-04-30 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with - mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, - local dynamics: parabolic systems, small denominator questions, - new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, - a new family of resurgent functions related to knot theory.

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation

Author : Ovidiu Costin
Publisher : Springer Science & Business Media
ISBN 13 : 887642377X
Total Pages : 289 pages
Book Rating : 4.8/5 (764 download)

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Book Synopsis Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation by : Ovidiu Costin

Download or read book Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation written by Ovidiu Costin and published by Springer Science & Business Media. This book was released on 2012-02-21 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with: mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, local dynamics: parabolic systems, small denominator questions, new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, a new family of resurgent functions related to knot theory.

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation

Author : Ovidiu Costin
Publisher : Edizioni della Normale
ISBN 13 : 9788876423765
Total Pages : 274 pages
Book Rating : 4.4/5 (237 download)

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Book Synopsis Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation by : Ovidiu Costin

Download or read book Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation written by Ovidiu Costin and published by Edizioni della Normale. This book was released on 2011-09-07 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with: mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, local dynamics: parabolic systems, small denominator questions, new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, a new family of resurgent functions related to knot theory.

Asymptotics in dynamics, geometry and PDEs

Author : Ovidiu Costin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (955 download)

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Book Synopsis Asymptotics in dynamics, geometry and PDEs by : Ovidiu Costin

Download or read book Asymptotics in dynamics, geometry and PDEs written by Ovidiu Costin and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Translations of Mathematical Monographs

Author :
Publisher :
ISBN 13 : 9780821821091
Total Pages : 285 pages
Book Rating : 4.8/5 (21 download)

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Book Synopsis Translations of Mathematical Monographs by :

Download or read book Translations of Mathematical Monographs written by and published by . This book was released on 1962 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Geometric Analysis

Author : Monika Ludwig
Publisher : Springer Science & Business Media
ISBN 13 : 1461464064
Total Pages : 402 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Asymptotic Geometric Analysis by : Monika Ludwig

Download or read book Asymptotic Geometric Analysis written by Monika Ludwig and published by Springer Science & Business Media. This book was released on 2013-03-27 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity. The deep geometric, probabilistic, and combinatorial methods developed here are used outside the field in many areas of mathematics and mathematical sciences. The Fields Institute Thematic Program in the Fall of 2010 continued an established tradition of previous large-scale programs devoted to the same general research direction. The main directions of the program included: * Asymptotic theory of convexity and normed spaces * Concentration of measure and isoperimetric inequalities, optimal transportation approach * Applications of the concept of concentration * Connections with transformation groups and Ramsey theory * Geometrization of probability * Random matrices * Connection with asymptotic combinatorics and complexity theory These directions are represented in this volume and reflect the present state of this important area of research. It will be of benefit to researchers working in a wide range of mathematical sciences—in particular functional analysis, combinatorics, convex geometry, dynamical systems, operator algebras, and computer science.

Asymptotics of Elliptic and Parabolic PDEs

Author : David Holcman
Publisher : Springer
ISBN 13 : 3319768956
Total Pages : 456 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Asymptotics of Elliptic and Parabolic PDEs by : David Holcman

Download or read book Asymptotics of Elliptic and Parabolic PDEs written by David Holcman and published by Springer. This book was released on 2018-05-25 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory. Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested in deriving solutions to real-world problems from first principles.

Asymptotic Analysis and the Numerical Solution of Partial Differential Equations

Author : Hans G. Kaper
Publisher : CRC Press
ISBN 13 : 1482277069
Total Pages : 283 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Asymptotic Analysis and the Numerical Solution of Partial Differential Equations by : Hans G. Kaper

Download or read book Asymptotic Analysis and the Numerical Solution of Partial Differential Equations written by Hans G. Kaper and published by CRC Press. This book was released on 1991-02-25 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrates two fields generally held to be incompatible, if not downright antithetical, in 16 lectures from a February 1990 workshop at the Argonne National Laboratory, Illinois. The topics, of interest to industrial and applied mathematicians, analysts, and computer scientists, include singular per

Nonlinear Analysis, Geometry and Applications

Author : Diaraf Seck
Publisher : Springer Nature
ISBN 13 : 3030573362
Total Pages : 462 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Nonlinear Analysis, Geometry and Applications by : Diaraf Seck

Download or read book Nonlinear Analysis, Geometry and Applications written by Diaraf Seck and published by Springer Nature. This book was released on 2020-11-20 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers nineteen papers presented at the first NLAGA-BIRS Symposium, which was held at the Cheikh Anta Diop University in Dakar, Senegal, on June 24–28, 2019. The four-day symposium brought together African experts on nonlinear analysis and geometry and their applications, as well as their international partners, to present and discuss mathematical results in various areas. The main goal of the NLAGA project is to advance and consolidate the development of these mathematical fields in West and Central Africa with a focus on solving real-world problems such as coastal erosion, pollution, and urban network and population dynamics problems. The book addresses a range of topics related to partial differential equations, geometrical analysis of optimal shapes, geometric structures, optimization and optimal transportation, control theory, and mathematical modeling.

Asymptotic Formulae in Spectral Geometry

Author : Peter B. Gilkey
Publisher : CRC Press
ISBN 13 : 1135440743
Total Pages : 315 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Asymptotic Formulae in Spectral Geometry by : Peter B. Gilkey

Download or read book Asymptotic Formulae in Spectral Geometry written by Peter B. Gilkey and published by CRC Press. This book was released on 2003-12-17 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. Written by a leading pioneer in the field, it focuses on the functorial and special cases methods of computing asymptotic heat trace and heat content coefficients in the heat equation. It incorporates the work of many authors into the presentation, and includes a complete bibliography that serves as a roadmap to the literature on the subject. Geometers, mathematical physicists, and analysts alike will undoubtedly find this book to be the definitive book on the subject

Geometric Asymptotics for Nonlinear PDE. I

Author : V. P. Maslov G. A. Omelyanov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821897980
Total Pages : 320 pages
Book Rating : 4.8/5 (979 download)

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Book Synopsis Geometric Asymptotics for Nonlinear PDE. I by : V. P. Maslov G. A. Omelyanov

Download or read book Geometric Asymptotics for Nonlinear PDE. I written by V. P. Maslov G. A. Omelyanov and published by American Mathematical Soc.. This book was released on with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of asymptotic solutions to nonlinear systems of partial differential equations is a very powerful tool in the analysis of such systems and their applications in physics, mechanics, and engineering. In the present book, the authors propose a new powerful method of asymptotic analysis of solutions, which can be successfully applied in the case of the so-called ``smoothed shock waves'', i.e., nonlinear waves which vary fast in a neighborhood of the front and slowly outside of this neighborhood. The proposed method, based on the study of geometric objects associated to the front, can be viewed as a generalization of the geometric optics (or WKB) method for linear equations. This volume offers to a broad audience a simple and accessible presentation of this new method. The authors present many examples originating from problems of hydrodynamics, nonlinear optics, plasma physics, mechanics of continuum, and theory of phase transitions (free boundary problems). In the examples, characterized by smoothing of singularities due to dispersion or diffusion, asymptotic solutions in the form of distorted solitons, kinks, breathers, or smoothed shock waves are constructed. By a unified rule, a geometric picture is associated with each physical problem that allows for obtaining tractable asymptotic formulas and provides a geometric interpretation of the physical process. Included are many figures illustrating the various physical effects.

The Geometry and Dynamics of Magnetic Monopoles

Author : Michael Francis Atiyah
Publisher : Princeton University Press
ISBN 13 : 1400859301
Total Pages : 143 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Geometry and Dynamics of Magnetic Monopoles by : Michael Francis Atiyah

Download or read book The Geometry and Dynamics of Magnetic Monopoles written by Michael Francis Atiyah and published by Princeton University Press. This book was released on 2014-07-14 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited. In this book a particular system, describing the interaction of magnetic monopoles, is investigated in detail. The use of new geometrical methods produces a reasonably clear picture of the dynamics for slowly moving monopoles. This picture clarifies the important notion of solitons, which has attracted much attention in recent years. The soliton idea bridges the gap between the concepts of "fields" and "particles," and is here explored in a fully three-dimensional context. While the background and motivation for the work comes from physics, the presentation is mathematical. This book is interdisciplinary and addresses concerns of theoretical physicists interested in elementary particles or general relativity and mathematicians working in analysis or geometry. The interaction between geometry and physics through non-linear partial differential equations is now at a very exciting stage, and the book is a contribution to this activity. Originally published in 1988. 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.

Nonlinear Analysis, Geometry and Applications

Author : Diaraf Seck
Publisher : Springer Nature
ISBN 13 : 3031046161
Total Pages : 525 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Nonlinear Analysis, Geometry and Applications by : Diaraf Seck

Download or read book Nonlinear Analysis, Geometry and Applications written by Diaraf Seck and published by Springer Nature. This book was released on 2022-10-09 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers twenty-two papers presented at the second NLAGA-BIRS Symposium, which was held at Cap Skirring and at the Assane Seck University in Ziguinchor, Senegal, on January 25–30, 2022. The five-day symposium brought together African experts on nonlinear analysis and geometry and their applications, as well as their international partners, to present and discuss mathematical results in various areas. The main goal of the NLAGA project is to advance and consolidate the development of these mathematical fields in West and Central Africa with a focus on solving real-world problems such as coastal erosion, pollution, and urban network and population dynamics problems. The book addresses a range of topics related to partial differential equations, geometric analysis, geometric structures, dynamics, optimization, inverse problems, complex analysis, algebra, algebraic geometry, control theory, stochastic approximations, and modelling.

Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow

Author : Zhou Gang
Publisher : American Mathematical Soc.
ISBN 13 : 1470428407
Total Pages : 90 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow by : Zhou Gang

Download or read book Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow written by Zhou Gang and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study noncompact surfaces evolving by mean curvature flow (mcf). For an open set of initial data that are $C^3$-close to round, but without assuming rotational symmetry or positive mean curvature, the authors show that mcf solutions become singular in finite time by forming neckpinches, and they obtain detailed asymptotics of that singularity formation. The results show in a precise way that mcf solutions become asymptotically rotationally symmetric near a neckpinch singularity.

Dynamical Scale Transform In Tropical Geometry

Author : Tsuyoshi Kato
Publisher : World Scientific
ISBN 13 : 9814635383
Total Pages : 270 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Dynamical Scale Transform In Tropical Geometry by : Tsuyoshi Kato

Download or read book Dynamical Scale Transform In Tropical Geometry written by Tsuyoshi Kato and published by World Scientific. This book was released on 2016-10-21 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides comprehensive analysis of dynamical systems in tropical geometry, which include the author's significant discoveries and pioneering contributions. Tropical geometry is a kind of dynamical scale transform which connects real rational dynamics with piecewise linear one presented by max and plus algebras. A comparison method is given which estimates orbits corresponding to different rational dynamics by reduction to the piecewise linear dynamics.Both rational and piecewise linear dynamics appear in many important branches of mathematics. Tropical geometry can play a role or function to bridge between different subjects in mathematics. This book contains detailed accounts of basic strategy on how to apply tropical geometry to analysis in various mathematical subjects by presenting several applications which include: a rough classification of partial differential equations from the point of view of global behavior of solutions; construction of the infinite quasi-recursive rational dynamics, based on the automaton of the Burnside group by Aleshin-Grigorchuk; study on nearly periodicity of the pentagram map on the moduli space of the twisted polygons; spectral coincidence between lamplighter group in theory of automata groups and Box and ball systems corresponding to KdV equation in soliton theory.This book is self-contained, and detailed accounts of theory of automata groups, BBS and the pentagram map are also included.

Handbook of Dynamical Systems

Author : B. Fiedler
Publisher : Gulf Professional Publishing
ISBN 13 : 0080532845
Total Pages : 1099 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Dynamical Systems by : B. Fiedler

Download or read book Handbook of Dynamical Systems written by B. Fiedler and published by Gulf Professional Publishing. This book was released on 2002-02-21 with total page 1099 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others. While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to namejust a few, are ubiquitous dynamical concepts throughout the articles.

Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains

Author : Dmitrii Korikov
Publisher : Springer Nature
ISBN 13 : 3030653722
Total Pages : 404 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains by : Dmitrii Korikov

Download or read book Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains written by Dmitrii Korikov and published by Springer Nature. This book was released on 2021-04-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers dynamic boundary value problems in domains with singularities of two types. The first type consists of "edges" of various dimensions on the boundary; in particular, polygons, cones, lenses, polyhedra are domains of this type. Singularities of the second type are "singularly perturbed edges" such as smoothed corners and edges and small holes. A domain with singularities of such type depends on a small parameter, whereas the boundary of the limit domain (as the parameter tends to zero) has usual edges, i.e. singularities of the first type. In the transition from the limit domain to the perturbed one, the boundary near a conical point or an edge becomes smooth, isolated singular points become small cavities, and so on. In an "irregular" domain with such singularities, problems of elastodynamics, electrodynamics and some other dynamic problems are discussed. The purpose is to describe the asymptotics of solutions near singularities of the boundary. The presented results and methods have a wide range of applications in mathematical physics and engineering. The book is addressed to specialists in mathematical physics, partial differential equations, and asymptotic methods.