Nonlinear Mechanics and Pure Mathematics

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Publisher : CRC Press
ISBN 13 : 9782881249181
Total Pages : 564 pages
Book Rating : 4.2/5 (491 download)

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Book Synopsis Nonlinear Mechanics and Pure Mathematics by : V. S. Vladimirov

Download or read book Nonlinear Mechanics and Pure Mathematics written by V. S. Vladimirov and published by CRC Press. This book was released on 1995 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Selected Works: Nonlinear mechanics and pure mathematics

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Publisher :
ISBN 13 :
Total Pages : 570 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Selected Works: Nonlinear mechanics and pure mathematics by : Nikolaĭ Nikolaevich Bogoli︠u︡bov

Download or read book Selected Works: Nonlinear mechanics and pure mathematics written by Nikolaĭ Nikolaevich Bogoli︠u︡bov and published by . This book was released on 1990 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Trends in Applications of Mathematics to Mechanics

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Publisher : CRC Press
ISBN 13 : 9780582248748
Total Pages : 384 pages
Book Rating : 4.2/5 (487 download)

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Book Synopsis Trends in Applications of Mathematics to Mechanics by : Jose Francisco Rodrigues

Download or read book Trends in Applications of Mathematics to Mechanics written by Jose Francisco Rodrigues and published by CRC Press. This book was released on 1995-10-03 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the purpose of promoting cooperative research involving the fields of mechanics and pure mathematics, the International Society for the Interaction of Mechanics and Mathematics (ISIMM) sponsors a series of Symposia. The ninth in this series (STAMM 94) took place in July 1994 at the University of Lisbon and emphasized the current trends in nonlinear mechanics, phase change problems (in cooperation with the European Science Foundation Scientific Programme on Mathematical Treatment of Free Boundary Problems), non Newtonian fluids, optimization in solid mechanics and numerical methods in continuum mechanics. This book collects a refereed selection of original contributions presented at STAMM 94, covering a large spectrum of current research in the above topics, from nonlinear elasticity to nonlinear fluids, from phase transitions to diffusion phenomena, and from structural optimization and homogenization to numerical schemes.

International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics

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Publisher : Elsevier
ISBN 13 : 0323147305
Total Pages : 521 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics by : Joseph Lasalle

Download or read book International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics written by Joseph Lasalle and published by Elsevier. This book was released on 2012-12-02 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics. This book discusses the properties of solutions of equations in standard form in the infinite time interval. Organized into 49 chapters, this book starts with an overview of the characteristic types of differential equation systems with small parameters. This text then explains the structurally stable fields on a differentiable two manifold are the ones that exhibit the simplest features. Other chapters explore the canonic system of hyperbolic partial differential equations with fixed characteristics. This book discusses as well the monofrequent oscillations that are predominantly near one or the other of the linear modes of motion. The final chapter deals with the existence and asymptotic character of solutions of the nonlinear boundary value problem. This book is a valuable resource for pure and applied mathematicians. Aircraft engineers will also find this book useful.

Nonlinear Mechanics, Groups and Symmetry

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Publisher : Springer Science & Business Media
ISBN 13 : 9401585350
Total Pages : 391 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Nonlinear Mechanics, Groups and Symmetry by : Yuri A. Mitropolsky

Download or read book Nonlinear Mechanics, Groups and Symmetry written by Yuri A. Mitropolsky and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Various assumptions about specific group properties are investigated, and are shown to lead to modifications of existing methods, such as the Bogoliubov averaging method and the Poincaré--Birkhoff normal form, as well as to the formulation of new ones. The development of normalization techniques of Lie groups is also treated. The wealth of examples demonstrates how these new group theoretical techniques can be applied to analyze specific problems. This book will be of interest to researchers and graduate students in the field of pure and applied mathematics, mechanics, physics, engineering, and biosciences.

Trends in Applications of Mathematics to Mechanics

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Publisher : Chapman and Hall/CRC
ISBN 13 : 9780582248748
Total Pages : 388 pages
Book Rating : 4.2/5 (487 download)

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Book Synopsis Trends in Applications of Mathematics to Mechanics by : Jose Francisco Rodrigues

Download or read book Trends in Applications of Mathematics to Mechanics written by Jose Francisco Rodrigues and published by Chapman and Hall/CRC. This book was released on 1995 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the purpose of promoting cooperative research involving the fields of mechanics and pure mathematics, the International Society for the Interaction of Mechanics and Mathematics (ISIMM) sponsors a series of Symposia. The ninth in this series (STAMM 94) took place in July 1994 at the University of Lisbon and emphasized the current trends in nonlinear mechanics, phase change problems (in cooperation with the European Science Foundation Scientific Programme on Mathematical Treatment of Free Boundary Problems), non Newtonian fluids, optimization in solid mechanics and numerical methods in continuum mechanics. This book collects a refereed selection of original contributions presented at STAMM 94, covering a large spectrum of current research in the above topics, from nonlinear elasticity to nonlinear fluids, from phase transitions to diffusion phenomena, and from structural optimization and homogenization to numerical schemes.

Differential Geometry with Applications to Mechanics and Physics

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Publisher : CRC Press
ISBN 13 : 9780824703851
Total Pages : 480 pages
Book Rating : 4.7/5 (38 download)

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Book Synopsis Differential Geometry with Applications to Mechanics and Physics by : Yves Talpaert

Download or read book Differential Geometry with Applications to Mechanics and Physics written by Yves Talpaert and published by CRC Press. This book was released on 2000-09-12 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential forms; Lie derivative and Lie algebra; n-form integration on n-manifold; Riemann geometry; and more. It includes 133 solved exercises.

Selected Papers of Demetrios G. Magiros

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Publisher : Springer
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Selected Papers of Demetrios G. Magiros by : Demetrios G. Magiros

Download or read book Selected Papers of Demetrios G. Magiros written by Demetrios G. Magiros and published by Springer. This book was released on 1985-06-30 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of nonlinear oscillations and stability of motion is a fundamental part of the study of numerous real world phenomena. These phenomena, particularly auto-oscillations of the first and second kind, capture, para metric, subharmonic and ultraharmonic resonance, asymptotic behavior and orbits' stability, constitute the core of problems treated in "Nonlinear Mechanics", and their study is connected with the names of H. Poincare, A. M. Lyapunov, N. M. Krylov and N. N. Bogolyubov. Professor Demetrios Magiros, a widely known scientist in the theories of oscillations and nonlinear differential equations, has devoted his numerous works to this significant part of modern physical science. His scientific results can be classified in the following way: I) creation of methods of analysis of subharmonic resonances under the nonlinear effect, 2) determination and analysis of the main modes of nonlinear oscillations on the basis of infinite determinants, 3) analysis of problems of celestial mechanics, 4) classification of stability of solutions of dynamic systems concepts, 5) mathematical analogs of physical and social systems. He has developed new methods and solutions for a great number of difficult problems of nonlinear mechanics making a significant contri bution to the theory and applications of the field. Urgency, depth of perception of the considered phenomena, and practi cal directness are characteristics of his work.

Selected Papers of Demetrios G. Magiros

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Publisher : Springer Science & Business Media
ISBN 13 : 9400953682
Total Pages : 530 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Selected Papers of Demetrios G. Magiros by : S.G. Tzafestas

Download or read book Selected Papers of Demetrios G. Magiros written by S.G. Tzafestas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of nonlinear oscillations and stability of motion is a fundamental part of the study of numerous real world phenomena. These phenomena, particularly auto-oscillations of the first and second kind, capture, para metric, subharmonic and ultraharmonic resonance, asymptotic behavior and orbits' stability, constitute the core of problems treated in "Nonlinear Mechanics", and their study is connected with the names of H. Poincare, A. M. Lyapunov, N. M. Krylov and N. N. Bogolyubov. Professor Demetrios Magiros, a widely known scientist in the theories of oscillations and nonlinear differential equations, has devoted his numerous works to this significant part of modern physical science. His scientific results can be classified in the following way: I) creation of methods of analysis of subharmonic resonances under the nonlinear effect, 2) determination and analysis of the main modes of nonlinear oscillations on the basis of infinite determinants, 3) analysis of problems of celestial mechanics, 4) classification of stability of solutions of dynamic systems concepts, 5) mathematical analogs of physical and social systems. He has developed new methods and solutions for a great number of difficult problems of nonlinear mechanics making a significant contri bution to the theory and applications of the field. Urgency, depth of perception of the considered phenomena, and practi cal directness are characteristics of his work.

Trends in Applications of Pure Mathematics to Mechanics

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Publisher : Springer
ISBN 13 : 9783540164678
Total Pages : 540 pages
Book Rating : 4.1/5 (646 download)

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Book Synopsis Trends in Applications of Pure Mathematics to Mechanics by : Ekkehart Kröner

Download or read book Trends in Applications of Pure Mathematics to Mechanics written by Ekkehart Kröner and published by Springer. This book was released on 1986-05-01 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Non-Linear Mechanics. (AM-11), Volume 11

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Publisher : Princeton University Press
ISBN 13 : 1400882273
Total Pages : 106 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Introduction to Non-Linear Mechanics. (AM-11), Volume 11 by : Nikolai Mitrofanovich Krylov

Download or read book Introduction to Non-Linear Mechanics. (AM-11), Volume 11 written by Nikolai Mitrofanovich Krylov and published by Princeton University Press. This book was released on 2016-03-02 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Introduction to Non-Linear Mechanics. (AM-11), Volume 11, will be forthcoming.

Advances in Computational Nonlinear Mechanics

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Publisher : Springer
ISBN 13 : 3709128285
Total Pages : 248 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Advances in Computational Nonlinear Mechanics by : I.S. Doltsinis

Download or read book Advances in Computational Nonlinear Mechanics written by I.S. Doltsinis and published by Springer. This book was released on 2014-05-04 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced computational methods in nonlinear mechanics of solids and fluids are dealt with in this volume. Contributions consider large deformations of structures and solids, problems in nonlinear dynamics, aspects of earthquake analysis, coupled problems, convection-dominated phenomena, and compressible and incompressible viscous flows. Selected applications indicate the relevance of the analysis to the demands of industry and science. The contributors are from research institutions well-known for their work in this field.

Geometry, Mechanics, and Dynamics

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Publisher : Springer
ISBN 13 : 1493924419
Total Pages : 506 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Geometry, Mechanics, and Dynamics by : Dong Eui Chang

Download or read book Geometry, Mechanics, and Dynamics written by Dong Eui Chang and published by Springer. This book was released on 2015-04-16 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates the broad range of Jerry Marsden’s mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric mechanics beginning at the very foundations, introducing readers to modern issues via illustrations in a wide range of topics. The twenty refereed papers contained in this volume are based on lectures and research performed during the month of July 2012 at the Fields Institute for Research in Mathematical Sciences, in a program in honor of Marsden's legacy. The unified treatment of the wide breadth of topics treated in this book will be of interest to both experts and novices in geometric mechanics. Experts will recognize applications of their own familiar concepts and methods in a wide variety of fields, some of which they may never have approached from a geometric viewpoint. Novices may choose topics that interest them among the various fields and learn about geometric approaches and perspectives toward those topics that will be new for them as well.

Nonlinear Analysis and Continuum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 146122196X
Total Pages : 149 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Nonlinear Analysis and Continuum Mechanics by : Giuseppe Butazzo

Download or read book Nonlinear Analysis and Continuum Mechanics written by Giuseppe Butazzo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume deal with four fields with deep historical roots that remain active areas reasearch: partial differential equations, variational methods, fluid mechanics, and thermodynamics. The collection is intended to serve two purposes: First, to honor James Serrin, in whose work the four fields frequently interacted; and second, to bring together work in fields that are usually pursued independently but that remain remarkably interrelated. Serrin's contributions to mathematical analysis and its applications are fundamental and include such theorems and methods as the Gilbarg- Serrin theorem on isoated singularities, the Serrin symmetry theorem, the Alexandrov-Serrin moving-plane technique, The Peletier-Serrin uniqueness theorem, and the Serrin integal of the calculus of variations. Serrin has also been noted for the elegance of his mathematical work and for the effectiveness of his teaching and collaborations.

Self-Similarity and Beyond

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Publisher : CRC Press
ISBN 13 : 1000611418
Total Pages : 172 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Self-Similarity and Beyond by : P.L. Sachdev

Download or read book Self-Similarity and Beyond written by P.L. Sachdev and published by CRC Press. This book was released on 2019-06-13 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearity plays a major role in the understanding of most physical, chemical, biological, and engineering sciences. Nonlinear problems fascinate scientists and engineers, but often elude exact treatment. However elusive they may be, the solutions do exist-if only one perseveres in seeking them out. Self-Similarity and Beyond presents

Nonlinear Inclusions and Hemivariational Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 146144232X
Total Pages : 293 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Nonlinear Inclusions and Hemivariational Inequalities by : Stanisław Migórski

Download or read book Nonlinear Inclusions and Hemivariational Inequalities written by Stanisław Migórski and published by Springer Science & Business Media. This book was released on 2012-09-18 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader the theory of nonlinear inclusions and hemivariational inequalities with emphasis on the study of contact mechanics. The work covers both abstract results in the area of nonlinear inclusions, hemivariational inequalities as well as the study of specific contact problems, including their modelling and their variational analysis. Provided results are based on original research on the existence, uniqueness, regularity and behavior of the solution for various classes of nonlinear stationary and evolutionary inclusions. In carrying out the variational analysis of various contact models, one systematically uses results of hemivariational inequalities and, in this way, illustrates the applications of nonlinear analysis in contact mechanics. New mathematical methods are introduced and applied in the study of nonlinear problems, which describe the contact between a deformable body and a foundation. Contact problems arise in industry, engineering and geophysics. Their variational analysis presented in this book lies the background for their numerical analysis. This volume will interest mathematicians, applied mathematicians, engineers, and scientists as well as advanced graduate students.

Trends and Applications of Pure Mathematics to Mechanics

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Publisher : Springer
ISBN 13 : 3540388001
Total Pages : 428 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Trends and Applications of Pure Mathematics to Mechanics by : P.G. Ciarlet

Download or read book Trends and Applications of Pure Mathematics to Mechanics written by P.G. Ciarlet and published by Springer. This book was released on 2005-07-03 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: