Global Bifurcation in Variational Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 1461218209
Total Pages : 261 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Global Bifurcation in Variational Inequalities by : Vy Khoi Le

Download or read book Global Bifurcation in Variational Inequalities written by Vy Khoi Le and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date and unified treatment of bifurcation theory for variational inequalities in reflexive spaces and the use of the theory in a variety of applications, such as: obstacle problems from elasticity theory, unilateral problems; torsion problems; equations from fluid mechanics and quasilinear elliptic partial differential equations. The tools employed are those of modern nonlinear analysis. Accessible to graduate students and researchers who work in nonlinear analysis, nonlinear partial differential equations, and additional research disciplines that use nonlinear mathematics.

Progress in Variational Methods

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Publisher : World Scientific
ISBN 13 : 9814327840
Total Pages : 249 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Progress in Variational Methods by : Chungen Liu

Download or read book Progress in Variational Methods written by Chungen Liu and published by World Scientific. This book was released on 2010 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last forty years, nonlinear analysis has been broadly and rapidly developed. Lectures presented in the International Conference on Variational Methods at the Chern Institute of Mathematics in Tianjin of May 2009 reflect this development from different angles. This volume contains articles based on lectures in the following areas of nonlinear analysis: critical point theory, Hamiltonian dynamics, partial differential equations and systems, KAM theory, bifurcation theory, symplectic geometry, geometrical analysis, and celestial mechanics. Combinations of topological, analytical (especially variational), geometrical, and algebraic methods in these researches play important roles. In this proceedings, introductory materials on new theories and surveys on traditional topics are also given. Further perspectives and open problems on hopeful research topics in related areas are described and proposed. Researchers, graduate and postgraduate students from a wide range of areas in mathematics and physics will find contents in this proceedings are helpful.

Multi-Valued Variational Inequalities and Inclusions

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Publisher : Springer Nature
ISBN 13 : 3030651657
Total Pages : 596 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Multi-Valued Variational Inequalities and Inclusions by : Siegfried Carl

Download or read book Multi-Valued Variational Inequalities and Inclusions written by Siegfried Carl and published by Springer Nature. This book was released on 2021-03-02 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with constraints reflected by subdifferentials of convex functionals. Its main goal is to provide a systematic, unified, and relatively self-contained exposition of existence, comparison and enclosure principles, together with other qualitative properties of multi-valued variational inequalities and inclusions. The problems under consideration are studied in different function spaces such as Sobolev spaces, Orlicz-Sobolev spaces, Sobolev spaces with variable exponents, and Beppo-Levi spaces. A general and comprehensive sub-supersolution method (lattice method) is developed for both stationary and evolutionary multi-valued variational inequalities, which preserves the characteristic features of the commonly known sub-supersolution method for single-valued, quasilinear elliptic and parabolic problems. This method provides a powerful tool for studying existence and enclosure properties of solutions when the coercivity of the problems under consideration fails. It can also be used to investigate qualitative properties such as the multiplicity and location of solutions or the existence of extremal solutions. This is the first in-depth treatise on the sub-supersolution (lattice) method for multi-valued variational inequalities without any variational structures, together with related topics. The choice of the included materials and their organization in the book also makes it useful and accessible to a large audience consisting of graduate students and researchers in various areas of Mathematical Analysis and Theoretical Physics.

Progress in Variational Methods

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Publisher : World Scientific
ISBN 13 : 9814462616
Total Pages : 248 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Progress in Variational Methods by : Chungen Liu

Download or read book Progress in Variational Methods written by Chungen Liu and published by World Scientific. This book was released on 2010-09-07 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last forty years, nonlinear analysis has been broadly and rapidly developed. Lectures presented in the International Conference on Variational Methods at the Chern Institute of Mathematics in Tianjin of May 2009 reflect this development from different angles. This volume contains articles based on lectures in the following areas of nonlinear analysis: critical point theory, Hamiltonian dynamics, partial differential equations and systems, KAM theory, bifurcation theory, symplectic geometry, geometrical analysis, and celestial mechanics. Combinations of topological, analytical (especially variational), geometrical, and algebraic methods in these researches play important roles. In this proceedings, introductory materials on new theories and surveys on traditional topics are also given. Further perspectives and open problems on hopeful research topics in related areas are described and proposed. Researchers, graduate and postgraduate students from a wide range of areas in mathematics and physics will find contents in this proceedings are helpful. Contents:On 2-Tori Having a Pole (V Bangert)Turing Patterns and Standing Waves in Fitzhugh-Nagumo Type Systems (C-N Chen & S-Y Kung)Remarks on Mean Value Properties (Y Y Li & L Nguyen)Brake Orbits in Bounded Convex Symmetric Domains (C Liu & D Zhang)Recent Progress on Closed Geodesics in Some Compact Simply Connected Manifolds (Y Long)Topological Bifurcation Theory: Old and New (J Mawhin)Exponential Growth Rate of Paths and Its Connection with Dynamics (Z Xia & P Zhang)Rabinowitz's Theorems Revisited (W Zou)and other papers Readership: Graduates student and young scholars interested in variational methods. Keywords:Variational Methods;Periodical Solutions;Homoclinics and Heteroclinics of Hamiltonian Systems;Closed Geodesic Flows;Critical Point Theory;Harmonic Maps

Global Bifurcations and Chaos

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Publisher : Springer Science & Business Media
ISBN 13 : 1461210429
Total Pages : 505 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Global Bifurcations and Chaos by : Stephen Wiggins

Download or read book Global Bifurcations and Chaos written by Stephen Wiggins and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems. These techniques can be viewed as generalizations of Melnikov's method to multi-degree of freedom systems subject to slowly varying parameters and quasiperiodic excitations. A unique feature of the book is that each theorem is illustrated with drawings that enable the reader to build visual pictures of global dynamcis of the systems being described. This approach leads to an enhanced intuitive understanding of the theory.

Variational and Hemivariational Inequalities - Theory, Methods and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1441987584
Total Pages : 361 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Variational and Hemivariational Inequalities - Theory, Methods and Applications by : D. Goeleven

Download or read book Variational and Hemivariational Inequalities - Theory, Methods and Applications written by D. Goeleven and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time. Audience: The book is suitable for researchers, and for doctoral and post-doctoral courses.

Variational and Hemivariational Inequalities - Theory, Methods and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402075384
Total Pages : 372 pages
Book Rating : 4.0/5 (753 download)

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Book Synopsis Variational and Hemivariational Inequalities - Theory, Methods and Applications by : DANIEL Goeleven

Download or read book Variational and Hemivariational Inequalities - Theory, Methods and Applications written by DANIEL Goeleven and published by Springer Science & Business Media. This book was released on 2003-08-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time. Audience: The book is suitable for researchers, and for doctoral and post-doctoral courses.

Nonlinear Elliptic and Parabolic Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3764373857
Total Pages : 531 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Nonlinear Elliptic and Parabolic Problems by : Michel Chipot

Download or read book Nonlinear Elliptic and Parabolic Problems written by Michel Chipot and published by Springer Science & Business Media. This book was released on 2006-02-09 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrates the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Containing 32 contributions, this volume covers a range of nonlinear elliptic and parabolic equations, with applications to natural sciences and engineering.

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

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Publisher : Springer Science & Business Media
ISBN 13 : 1461211409
Total Pages : 475 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields by : John Guckenheimer

Download or read book Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields written by John Guckenheimer and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.

Network Science, Nonlinear Science and Infrastructure Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 0387711341
Total Pages : 365 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Network Science, Nonlinear Science and Infrastructure Systems by : Terry L. Friesz

Download or read book Network Science, Nonlinear Science and Infrastructure Systems written by Terry L. Friesz and published by Springer Science & Business Media. This book was released on 2007-06-10 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written by leading scholars in Network Science, Nonlinear Science and Infrastructure Systems, expressly to develop common theoretical underpinnings for better solutions to modern infrastructural problems. The book is dedicated to the formulation of infrastructural tools that will better solve problems from transportation networks to telecommunications, Internet, supply chains and more.

Nonlinear Evolution Equations And Dynamical Systems, Proceedings Of The Icm2002 Satellite Conference

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Publisher : World Scientific
ISBN 13 : 9814486647
Total Pages : 204 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Nonlinear Evolution Equations And Dynamical Systems, Proceedings Of The Icm2002 Satellite Conference by : Yi Cheng

Download or read book Nonlinear Evolution Equations And Dynamical Systems, Proceedings Of The Icm2002 Satellite Conference written by Yi Cheng and published by World Scientific. This book was released on 2003-10-14 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the papers presented at the ICM2002 Satellite Conference on Nonlinear Evolution Equations and Dynamical Systems. About 50 mathematicians and scientists attended the meeting — including E Witten (IAS), C Nappi (Princeton), K Khanin (Cambridge), D Phong (Columbia), d'Hoker (UCLA) and Peng Chiakuei (CAS). The book covers several fields, such as nonlinear evolution equations and integrable systems, infinite-dimensional algebra, conformal field theory and geometry.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)

Mathematical and Computational Approaches in Advancing Modern Science and Engineering

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Publisher : Springer
ISBN 13 : 3319303791
Total Pages : 806 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Mathematical and Computational Approaches in Advancing Modern Science and Engineering by : Jacques Bélair

Download or read book Mathematical and Computational Approaches in Advancing Modern Science and Engineering written by Jacques Bélair and published by Springer. This book was released on 2016-08-10 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science and engineering. It provides a primary and ubiquitous tool in the context making new discoveries, as well as in the development of new theories and techniques for solving key problems arising in scientific and engineering applications. The contributions, which are the product of two highly successful meetings held jointly in Waterloo, Ontario, Canada on the main campus of Wilfrid Laurier University in June 2015, i.e. the International Conference on Applied Mathematics, Modeling and Computational Science, and the Annual Meeting of the Canadian Applied and Industrial Mathematics (CAIMS), make the book a valuable resource for any reader interested in a broader overview of the methods, ideas and tools involved in mathematical and computational approaches developed for other disciplines, including the natural and social sciences, engineering and technology.

Mathematical Problems in Image Processing

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Publisher : Springer Science & Business Media
ISBN 13 : 0387445889
Total Pages : 400 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Mathematical Problems in Image Processing by : Gilles Aubert

Download or read book Mathematical Problems in Image Processing written by Gilles Aubert and published by Springer Science & Business Media. This book was released on 2006-11-30 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The updated 2nd edition of this book presents a variety of image analysis applications, reviews their precise mathematics and shows how to discretize them. For the mathematical community, the book shows the contribution of mathematics to this domain, and highlights unsolved theoretical questions. For the computer vision community, it presents a clear, self-contained and global overview of the mathematics involved in image procesing problems. The second edition offers a review of progress in image processing applications covered by the PDE framework, and updates the existing material. The book also provides programming tools for creating simulations with minimal effort.

The Energy Method, Stability, and Nonlinear Convection

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Publisher : Springer Science & Business Media
ISBN 13 : 1475721943
Total Pages : 254 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis The Energy Method, Stability, and Nonlinear Convection by : Brian Straughan

Download or read book The Energy Method, Stability, and Nonlinear Convection written by Brian Straughan and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six new chapters (14-19) deal with topics of current interest: multi-component convection diffusion, convection in a compressible fluid, convenction with temperature dependent viscosity and thermal conductivity, penetrative convection, nonlinear stability in ocean circulation models, and numerical solution of eigenvalue problems.

Nonlinear Evolution Equations and Dynamical Systems

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Publisher : World Scientific
ISBN 13 : 9789812795366
Total Pages : 204 pages
Book Rating : 4.7/5 (953 download)

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Book Synopsis Nonlinear Evolution Equations and Dynamical Systems by : Yi Cheng

Download or read book Nonlinear Evolution Equations and Dynamical Systems written by Yi Cheng and published by World Scientific. This book was released on 2003 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fast-paced economic growth in Southeast Asia from the late 1960s until the mid-1990s brought increased attention to the overseas Chinese as an economically successful diaspora and their role in this economic growth. Events that followed, such as the transfer of Hong Kong and Macau to the People's Republic of China, the election of a non-KMT government in Taiwan, the Asian economic crisis and the plight of overseas Chinese in Indonesia as a result, and the durability of the Singapore economy during this same crisis, have helped to sustain this attention. The study of the overseas Chinese has by now become a global enterprise, raising new theoretical problems and empirical challenges. New case studies of overseas Chinese, such as those on communities in North America, Cuba, India, and South Africa, continually unveil different perspectives. New kinds of transnational connectivities linking Chinese communities are also being identified. It is now possible to make broader generalizations of a Chinese diaspora, on a global basis. Further, the intensifying study of the overseas Chinese has stimulated renewed intellectual vigor in other areas of research. The transnational and transregional activities of overseas Chinese, for example, pose serious challenges to analytical concepts of regional divides such as that between East and Southeast Asia. Despite the increased attention, new data, and the changing theoretical paradigms, basic questions concerning the overseas Chinese remain. The papers in this volume seek to understand the overseas Chinese migrants not just in terms of the overall Chinese diaspora per se, but also local Chinese migrants adapting to local societies, in different national contexts.

Stability and Wave Motion in Porous Media

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Publisher : Springer Science & Business Media
ISBN 13 : 0387765433
Total Pages : 445 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Stability and Wave Motion in Porous Media by : Brian Straughan

Download or read book Stability and Wave Motion in Porous Media written by Brian Straughan and published by Springer Science & Business Media. This book was released on 2008-12-10 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes several tractable theories for fluid flow in porous media. The important mathematical quations about structural stability and spatial decay are address. Thermal convection and stability of other flows in porous media are covered. A chapter is devoted to the problem of stability of flow in a fluid overlying a porous layer. Nonlinear wave motion in porous media is analysed. In particular, waves in an elastic body with voids are investigated while acoustic waves in porous media are also analysed in some detail. A chapter is enclosed on efficient numerical methods for solving eigenvalue problems which occur in stability problems for flows in porous media. Brian Straughan is a professor at the Department of Mathemactical Sciences at Durham University, United Kingdom.

Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints

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Publisher : American Mathematical Soc.
ISBN 13 : 0821841920
Total Pages : 84 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints by : Sergiu Aizicovici

Download or read book Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints written by Sergiu Aizicovici and published by American Mathematical Soc.. This book was released on 2008 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the authors examine the degree map of multivalued perturbations of nonlinear operators of monotone type and prove that at a local minimizer of the corresponding Euler functional, this degree equals one.