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Explicit Construction Of An Inertial Manifold For A Reaction Diffusion Equation
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Book Synopsis Explicit Construction of an Inertial Manifold for a Reaction Diffusion Equation by : Michael Summerfield Jolly
Download or read book Explicit Construction of an Inertial Manifold for a Reaction Diffusion Equation written by Michael Summerfield Jolly and published by . This book was released on 1987 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inertial Manifolds for Partly Dissipative Reaction Diffusion Systems in Higher Space Dimensions by : Zhoude Shao
Download or read book Inertial Manifolds for Partly Dissipative Reaction Diffusion Systems in Higher Space Dimensions written by Zhoude Shao and published by . This book was released on 1994 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inertial Manifolds for Reaction Diffusion Equations by : Hyukjin Kwean
Download or read book Inertial Manifolds for Reaction Diffusion Equations written by Hyukjin Kwean and published by . This book was released on 1996 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Attractors and Inertial Manifolds by : Boling Guo
Download or read book Attractors and Inertial Manifolds written by Boling Guo and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-07-09 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the first volume is on the mathematical analysis of attractors and inertial manifolds. This volume deals with the existence of global attractors, inertial manifolds and with the estimation of Hausdorff fractal dimension for some dissipative nonlinear evolution equations in modern physics. Known as well as many new results about the existence, regularity and properties of inertial manifolds and approximate inertial manifolds are also presented in the first volume. The second volume will be devoted to modern analytical tools and methods in infinite-dimensional dynamical systems. Contents Attractor and its dimension estimation Inertial manifold The approximate inertial manifold
Author :University of Minnesota. Institute for Mathematics and Its Applications Publisher : ISBN 13 : Total Pages :103 pages Book Rating :4.:/5 (123 download)
Book Synopsis Inertial Manifolds for Reaction-diffusion Equations in Higher Space Dimensions by : University of Minnesota. Institute for Mathematics and Its Applications
Download or read book Inertial Manifolds for Reaction-diffusion Equations in Higher Space Dimensions written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations by : P. Constantin
Download or read book Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations written by P. Constantin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work was initiated in the summer of 1985 while all of the authors were at the Center of Nonlinear Studies of the Los Alamos National Laboratory; it was then continued and polished while the authors were at Indiana Univer sity, at the University of Paris-Sud (Orsay), and again at Los Alamos in 1986 and 1987. Our aim was to present a direct geometric approach in the theory of inertial manifolds (global analogs of the unstable-center manifolds) for dissipative partial differential equations. This approach, based on Cauchy integral mani folds for which the solutions of the partial differential equations are the generating characteristic curves, has the advantage that it provides a sound basis for numerical Galerkin schemes obtained by approximating the inertial manifold. The work is self-contained and the prerequisites are at the level of a graduate student. The theoretical part of the work is developed in Chapters 2-14, while in Chapters 15-19 we apply the theory to several remarkable partial differ ential equations.
Book Synopsis Inertial Manifold for a Reaction Diffusion Equation Model of Competition in a Chemostat by : Joseph Wai Hung So
Download or read book Inertial Manifold for a Reaction Diffusion Equation Model of Competition in a Chemostat written by Joseph Wai Hung So and published by . This book was released on 1989 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Continuation and Bifurcations: Numerical Techniques and Applications by : Dirk Roose
Download or read book Continuation and Bifurcations: Numerical Techniques and Applications written by Dirk Roose and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop, Leuven, Belgium, September 18-22, 1989
Book Synopsis An Introduction to Semiflows by : Albert J. Milani
Download or read book An Introduction to Semiflows written by Albert J. Milani and published by CRC Press. This book was released on 2004-10-14 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The auth
Book Synopsis The Connection between Infinite Dimensional and Finite Dimensional Dynamical Systems by : Basil Nicolaenko
Download or read book The Connection between Infinite Dimensional and Finite Dimensional Dynamical Systems written by Basil Nicolaenko and published by American Mathematical Soc.. This book was released on 1989 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have seen a number of major developments demonstrating that the long-term behavior of solutions of a very large class of partial differential equations possesses a striking resemblance to the behavior of solutions of finite dimensional dynamical systems, or ordinary differential equations. The first of these advances was the discovery that a dissipative PDE has a compact, global attractor with finite Hausdorff and fractal dimensions. More recently, it was shown that some of these PDEs possess a finite dimensional inertial manifold-that is, an invariant manifold containing the attractor and exponentially attractive trajectories. With the improved understanding of the exact connection between finite dimensional dynamical systems and various classes of dissipative PDEs, it is now realistic to hope that the wealth of studies of such topics as bifurcations of finite vector fields and ``strange'' fractal attractors can be brought to bear on various mathematical models, including continuum flows. Surprisingly, a number of distributed systems from continuum mechanics have been found to exhibit the same nontrivial dynamic behavior as observed in low-dimensional dynamical systems. As a natural consequence of these observations, a new direction of research has arisen: detection and analysis of finite dimensional dynamical characteristics of infinite-dimensional systems. This book represents the proceedings of an AMS-IMS-SIAM Summer Research Conference, held in July, 1987 at the University of Colorado at Boulder. Bringing together mathematicians and physicists, the conference provided a forum for presentations on the latest developments in the field and fostered lively interactions on open questions and future directions. With contributions from some of the top experts, these proceedings will provide readers with an overview of this vital area of research.
Book Synopsis Nonlinear Evolution Equations by : Boling Guo
Download or read book Nonlinear Evolution Equations written by Boling Guo and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-11-05 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Evolution Equation presents state-of-the-art theories and results on nonlinear evolution equation, showing related mathematical methods and applications. The basic concepts and research methods of infinite dimensional dynamical systems are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and students in applied mathematics and physics.
Book Synopsis Approximate Inertial Manifolds for the Kuramoto-Sivashinsky Equation by : M. S. Jolly
Download or read book Approximate Inertial Manifolds for the Kuramoto-Sivashinsky Equation written by M. S. Jolly and published by . This book was released on 1989 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Dynamics, Optimization and Computation by : Oliver Junge
Download or read book Advances in Dynamics, Optimization and Computation written by Oliver Junge and published by Springer Nature. This book was released on 2020-07-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of papers on recent advances in problems concerning dynamics, optimal control and optimization. In many chapters, computational techniques play a central role. Set-oriented techniques feature prominently throughout the book, yielding state-of-the-art algorithms for computing general invariant sets, constructing globally optimal controllers and solving multi-objective optimization problems.
Download or read book 2AN. written by and published by . This book was released on 1998 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis The Theory of Laser Materials Processing by : John Dowden
Download or read book The Theory of Laser Materials Processing written by John Dowden and published by Springer. This book was released on 2017-06-16 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revised edition of this important reference volume presents an expanded overview of the analytical and numerical approaches employed when exploring and developing modern laser materials processing techniques. The book shows how general principles can be used to obtain insight into laser processes, whether derived from fundamental physical theory or from direct observation of experimental results. The book gives readers an understanding of the strengths and limitations of simple numerical and analytical models that can then be used as the starting-point for more elaborate models of specific practical, theoretical or commercial value. Following an introduction to the mathematical formulation of some relevant classes of physical ideas, the core of the book consists of chapters addressing key applications in detail: cutting, keyhole welding, drilling, arc and hybrid laser-arc welding, hardening, cladding and forming. The second edition includes a new a chapter on glass cutting with lasers, as employed in the display industry. A further addition is a chapter on meta-modelling, whose purpose is to construct fast, simple and reliable models based on appropriate sources of information. It then makes it easy to explore data visually and is a convenient interactive tool for scientists to improve the quality of their models and for developers when designing their processes. As in the first edition, the book ends with an updated introduction to comprehensive numerical simulation. Although the book focuses on laser interactions with materials, many of the principles and methods explored can be applied to thermal modelling in a variety of different fields and at different power levels. It is aimed principally however at academic and industrial researchers and developers in the field of laser technology.
Author :University of Minnesota. Institute for Mathematics and Its Applications Publisher : ISBN 13 : Total Pages :28 pages Book Rating :4.:/5 (123 download)
Book Synopsis ODEs on Inertial Manifolds for Reaction-diffusion Systems in a Singularly Perturbed Domain with Several Thin Channels by : University of Minnesota. Institute for Mathematics and Its Applications
Download or read book ODEs on Inertial Manifolds for Reaction-diffusion Systems in a Singularly Perturbed Domain with Several Thin Channels written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1990 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
