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Symmetry And Nodal Properties In Global Bifurcation Analysis Of Quasi Linear Elliptic Equations
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Book Synopsis Symmetry and Nodal Properties in Global Bifurcation Analysis of Quasi-linear Elliptic Equations by : Timothy J. Healey
Download or read book Symmetry and Nodal Properties in Global Bifurcation Analysis of Quasi-linear Elliptic Equations written by Timothy J. Healey and published by . This book was released on 1989 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bifurcation Theory by : Hansjörg Kielhöfer
Download or read book Bifurcation Theory written by Hansjörg Kielhöfer and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations.
Book Synopsis The Symmetry Perspective by : Martin Golubitsky
Download or read book The Symmetry Perspective written by Martin Golubitsky and published by Birkhäuser. This book was released on 2012-12-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS
Book Synopsis Non-Local Cell Adhesion Models by : Andreas Buttenschön
Download or read book Non-Local Cell Adhesion Models written by Andreas Buttenschön and published by Springer Nature. This book was released on 2021-06-09 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph considers the mathematical modeling of cellular adhesion, a key interaction force in cell biology. While deeply grounded in the biological application of cell adhesion and tissue formation, this monograph focuses on the mathematical analysis of non-local adhesion models. The novel aspect is the non-local term (an integral operator), which accounts for forces generated by long ranged cell interactions. The analysis of non-local models has started only recently, and it has become a vibrant area of applied mathematics. This monograph contributes a systematic analysis of steady states and their bifurcation structure, combining global bifurcation results pioneered by Rabinowitz, equivariant bifurcation theory, and the symmetries of the non-local term. These methods allow readers to analyze and understand cell adhesion on a deep level.
Book Synopsis Bifurcation and Symmetry by : BÖHMER
Download or read book Bifurcation and Symmetry written by BÖHMER and published by Birkhäuser. This book was released on 2013-03-08 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is a property which occurs throughout nature and it is therefore natural that symmetry should be considered when attempting to model nature. In many cases, these models are also nonlinear and it is the study of nonlinear symmetric models that has been the basis of much recent work. Although systematic studies of nonlinear problems may be traced back at least to the pioneering contributions of Poincare, this remains an area with challenging problems for mathematicians and scientists. Phenomena whose models exhibit both symmetry and nonlinearity lead to problems which are challenging and rich in complexity, beauty and utility. In recent years, the tools provided by group theory and representation theory have proven to be highly effective in treating nonlinear problems involving symmetry. By these means, highly complex situations may be decomposed into a number of simpler ones which are already understood or are at least easier to handle. In the realm of numerical approximations, the systematic exploitation of symmetry via group repre sentation theory is even more recent. In the hope of stimulating interaction and acquaintance with results and problems in the various fields of applications, bifurcation theory and numerical analysis, we organized the conference and workshop Bifurcation and Symmetry: Cross Influences between Mathematics and Applications during June 2-7,8-14, 1991 at the Philipps University of Marburg, Germany.
Download or read book Research in Progress written by and published by . This book was released on 1990 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Bifurcation Analysis for Reaction-Diffusion Equations by : Zhen Mei
Download or read book Numerical Bifurcation Analysis for Reaction-Diffusion Equations written by Zhen Mei and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.
Book Synopsis Hidden Symmetry of Fully Nonlinear Boundary Conditions in Elliptic Equations by : T. J. Healey
Download or read book Hidden Symmetry of Fully Nonlinear Boundary Conditions in Elliptic Equations written by T. J. Healey and published by . This book was released on 1991 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Exploiting Symmetry in Applied and Numerical Analysis by : Eugene L. Allgower
Download or read book Exploiting Symmetry in Applied and Numerical Analysis written by Eugene L. Allgower and published by American Mathematical Soc.. This book was released on 1993 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry plays an important role in theoretical physics, applied analysis, classical differential equations, and bifurcation theory. Although numerical analysis has incorporated aspects of symmetry on an ad hoc basis, there is now a growing collection of numerical analysts who are currently attempting to use symmetry groups and representation theory as fundamental tools in their work. This book contains the proceedings of an AMS-SIAM Summer Seminar in Applied Mathematics, held in 1992 at Colorado State University. The seminar, which drew about 100 scientists from around the world, was intended to stimulate the systematic incorporation of symmetry and group theoretical concepts into numerical methods. The papers in this volume have been refereed and will not be published elsewhere.
Book Synopsis Topological Nonlinear Analysis by : Michele Matzeu
Download or read book Topological Nonlinear Analysis written by Michele Matzeu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological tools in Nonlinear Analysis had a tremendous develop ment during the last few decades. The three main streams of research in this field, Topological Degree, Singularity Theory and Variational Meth ods, have lately become impetuous rivers of scientific investigation. The process is still going on and the achievements in this area are spectacular. A most promising and rapidly developing field of research is the study of the role that symmetries play in nonlinear problems. Symmetries appear in a quite natural way in many problems in physics and in differential or symplectic geometry, such as closed orbits for autonomous Hamiltonian systems, configurations of symmetric elastic plates under pressure, Hopf Bifurcation, Taylor vortices, convective motions of fluids, oscillations of chemical reactions, etc . . . Some of these problems have been tackled recently by different techniques using equivariant versions of Degree, Singularity and Variations. The main purpose of the present volume is to give a survey of some of the most significant achievements obtained by topological methods in Nonlinear Analysis during the last two-three decades. The survey articles presented here reflect the personal taste and points of view of the authors (all of them well-known and distinguished specialists in their own fields) on the subject matter. A common feature of these papers is that of start ing with an historical introductory background of the different disciplines under consideration and climbing up to the heights of the most recent re sults.
Book Synopsis Preservation of Nodal Structure on Global Bifurcating Solution Branches of Elliptic Equations with Symmetry by : Timothy J. Healey
Download or read book Preservation of Nodal Structure on Global Bifurcating Solution Branches of Elliptic Equations with Symmetry written by Timothy J. Healey and published by . This book was released on 1991 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Problems of Elasticity by : Stuart Antman
Download or read book Nonlinear Problems of Elasticity written by Stuart Antman and published by Springer Science & Business Media. This book was released on 2005-11-24 with total page 845 pages. Available in PDF, EPUB and Kindle. Book excerpt: Enlarged, updated, and extensively revised, this second edition illuminates specific problems of nonlinear elasticity, emphasizing the role of nonlinear material response. Opening chapters discuss strings, rods, and shells, and applications of bifurcation theory and the calculus of variations to problems for these bodies. Subsequent chapters cover tensors, three-dimensional continuum mechanics, three-dimensional elasticity , general theories of rods and shells, and dynamical problems. Each chapter includes interesting, challenging, and tractable exercises.
Book Synopsis Symmetry and Nodal Properties in Systems of Nonlinear Strum-Liouville Eigenvalue Problems by : Timothy J. Healey
Download or read book Symmetry and Nodal Properties in Systems of Nonlinear Strum-Liouville Eigenvalue Problems written by Timothy J. Healey and published by . This book was released on 1990 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential and Integral Equations by :
Download or read book Differential and Integral Equations written by and published by . This book was released on 1996-07 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Symmetry and Preservation of Nodal Structure in Eliptic Equations by : Timothy J. Healey
Download or read book Symmetry and Preservation of Nodal Structure in Eliptic Equations written by Timothy J. Healey and published by . This book was released on 1991 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Local Solutions of the Traction Problem for Elastic Aeolotopic Bodies of Revolution by : Timothy J. Healey
Download or read book Local Solutions of the Traction Problem for Elastic Aeolotopic Bodies of Revolution written by Timothy J. Healey and published by . This book was released on 1991 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :American Society of Mechanical Engineers. Winter Annual Meeting Publisher :American Society of Mechanical Engineers ISBN 13 : Total Pages :130 pages Book Rating :4.3/5 (91 download)
Book Synopsis Recent Developments in Elasticity by : American Society of Mechanical Engineers. Winter Annual Meeting
Download or read book Recent Developments in Elasticity written by American Society of Mechanical Engineers. Winter Annual Meeting and published by American Society of Mechanical Engineers. This book was released on 1991 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
