Communications In Partial Differential Equations

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Input-to-State Stability for PDEs

Author : Iasson Karafyllis
Publisher : Springer
ISBN 13 : 3319910116
Total Pages : 296 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Input-to-State Stability for PDEs by : Iasson Karafyllis

Download or read book Input-to-State Stability for PDEs written by Iasson Karafyllis and published by Springer. This book was released on 2018-06-07 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book lays the foundation for the study of input-to-state stability (ISS) of partial differential equations (PDEs) predominantly of two classes—parabolic and hyperbolic. This foundation consists of new PDE-specific tools. In addition to developing ISS theorems, equipped with gain estimates with respect to external disturbances, the authors develop small-gain stability theorems for systems involving PDEs. A variety of system combinations are considered: PDEs (of either class) with static maps; PDEs (again, of either class) with ODEs; PDEs of the same class (parabolic with parabolic and hyperbolic with hyperbolic); and feedback loops of PDEs of different classes (parabolic with hyperbolic). In addition to stability results (including ISS), the text develops existence and uniqueness theory for all systems that are considered. Many of these results answer for the first time the existence and uniqueness problems for many problems that have dominated the PDE control literature of the last two decades, including—for PDEs that include non-local terms—backstepping control designs which result in non-local boundary conditions. Input-to-State Stability for PDEs will interest applied mathematicians and control specialists researching PDEs either as graduate students or full-time academics. It also contains a large number of applications that are at the core of many scientific disciplines and so will be of importance for researchers in physics, engineering, biology, social systems and others.

Evolution Equations, Feshbach Resonances, Singular Hodge Theory

Author : Michael Demuth
Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Evolution Equations, Feshbach Resonances, Singular Hodge Theory by : Michael Demuth

Download or read book Evolution Equations, Feshbach Resonances, Singular Hodge Theory written by Michael Demuth and published by Wiley-VCH. This book was released on 1999-04-22 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolution equations describe many processes in science and engineering, and they form a central topic in mathematics. The first three contributions to this volume address parabolic evolutionary problems: The opening paper treats asymptotic solutions to singular parabolic problems with distribution and hyperfunction data. The theory of the asymptotic Laplace transform is developed in the second paper and is applied to semigroups generated by operators with large growth of the resolvent. An article follows on solutions by local operator methods of time-dependent singular problems in non-cylindrical domains. The next contribution addresses spectral properties of systems of pseudodifferential operators when the characteristic variety has a conical intersection. Bohr-Sommerfeld quantization rules and first order exponential asymptotics of the resonance widths are established under various semiclassical regimes. In the following article, the limiting absorption principle is proven for certain self-adjoint operators. Applications include Hamiltonians with magnetic fields, Dirac Hamiltonians, and the propagation of waves in inhomogeneous media. The final topic develops Hodge theory on manifolds with edges; its authors introduce a concept of elliptic complexes, prove a Hodge decomposition theorem, and study the asymptotics of harmonic forms.

An Introduction to Partial Differential Equations

Author : Michael Renardy
Publisher : Springer Science & Business Media
ISBN 13 : 0387216871
Total Pages : 447 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis An Introduction to Partial Differential Equations by : Michael Renardy

Download or read book An Introduction to Partial Differential Equations written by Michael Renardy and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.

Fourier Analysis and Nonlinear Partial Differential Equations

Author : Hajer Bahouri
Publisher : Springer Science & Business Media
ISBN 13 : 3642168302
Total Pages : 530 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Fourier Analysis and Nonlinear Partial Differential Equations by : Hajer Bahouri

Download or read book Fourier Analysis and Nonlinear Partial Differential Equations written by Hajer Bahouri and published by Springer Science & Business Media. This book was released on 2011-01-03 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and Schrödinger equations. It also offers more sophisticated models originating from fluid mechanics (in particular the incompressible and compressible Navier-Stokes equations) or general relativity. It is either directed to anyone with a good undergraduate level of knowledge in analysis or useful for experts who are eager to know the benefit that one might gain from Fourier analysis when dealing with nonlinear partial differential equations.

Numerical Solution of Partial Differential Equations

Author : K. W. Morton
Publisher : Cambridge University Press
ISBN 13 : 1139443208
Total Pages : 287 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Numerical Solution of Partial Differential Equations by : K. W. Morton

Download or read book Numerical Solution of Partial Differential Equations written by K. W. Morton and published by Cambridge University Press. This book was released on 2005-04-11 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the 2005 second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations from the first edition. However this is augmented by new sections on finite volume methods, modified equation analysis, symplectic integration schemes, convection-diffusion problems, multigrid, and conjugate gradient methods; and several sections, including that on the energy method of analysis, have been extensively rewritten to reflect modern developments. Already an excellent choice for students and teachers in mathematics, engineering and computer science departments, the revised text includes more latest theoretical and industrial developments.

Degenerate Elliptic Equations

Author : Serge Levendorskii
Publisher : Springer Science & Business Media
ISBN 13 : 9401712158
Total Pages : 442 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Degenerate Elliptic Equations by : Serge Levendorskii

Download or read book Degenerate Elliptic Equations written by Serge Levendorskii and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first to be devoted to the study of various properties of wide classes of degenerate elliptic operators of arbitrary order and pseudo-differential operators with multiple characteristics. Conditions for operators to be Fredholm in appropriate weighted Sobolev spaces are given, a priori estimates of solutions are derived, inequalities of the Grding type are proved, and the principal term of the spectral asymptotics for self-adjoint operators is computed. A generalization of the classical Weyl formula is proposed. Some results are new, even for operators of the second order. In addition, an analogue of the Boutet de Monvel calculus is developed and the index is computed. For postgraduate and research mathematicians, physicists and engineers whose work involves the solution of partial differential equations.

Analysis of Singularities for Partial Differential Equations

Author : Shuxing Chen
Publisher : World Scientific
ISBN 13 : 9814304832
Total Pages : 207 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Analysis of Singularities for Partial Differential Equations by : Shuxing Chen

Download or read book Analysis of Singularities for Partial Differential Equations written by Shuxing Chen and published by World Scientific. This book was released on 2011 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks.

2D and Quasi-2D Composite and Nanocomposite Materials

Author : Ross McPhedran
Publisher : Elsevier
ISBN 13 : 0128188200
Total Pages : 318 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis 2D and Quasi-2D Composite and Nanocomposite Materials by : Ross McPhedran

Download or read book 2D and Quasi-2D Composite and Nanocomposite Materials written by Ross McPhedran and published by Elsevier. This book was released on 2020-06-05 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2D and Quasi-2D Composite and Nanocomposite Materials: Theory, Properties and Photonic Applications covers the theory, characterization and computational modeling of 2D composite materials and shows how they are used for the creation of materials for 3D structures The book covers three major themes: - Properties of 2D and quasi-2D composites are discussed in the context of homogenization theory. Homogenization results are discussed for spatiotemporal material composites assembled from materials which are distributed on a micro-scale in space and in time. - New types of transport phenomena and localization in random media are addressed, with particular attention to the non-reciprocity of transport coefficients. - Plasmonics and magneto-optics are also of particular interest. Magneto-transport and sub-wavelength resolution in electromagnetic and acoustic imaging are further considered. This book is an important resource for materials scientists and engineers working on nanomaterials, photonic composites, and materials theory, modeling and simulations. - Outlines major modelling techniques of 2D nanocomposites for photonic applications - Explores how the properties of 2D nanocomposites make them suitable for use for building 3D structures - Assesses the challenges of using 2D nanocomposites for designing new devices on a mass scale

The Fractional Laplacian

Author : C. Pozrikidis
Publisher : CRC Press
ISBN 13 : 1315359936
Total Pages : 396 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis The Fractional Laplacian by : C. Pozrikidis

Download or read book The Fractional Laplacian written by C. Pozrikidis and published by CRC Press. This book was released on 2018-09-03 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fractional Laplacian, also called the Riesz fractional derivative, describes an unusual diffusion process associated with random excursions. The Fractional Laplacian explores applications of the fractional Laplacian in science, engineering, and other areas where long-range interactions and conceptual or physical particle jumps resulting in an irregular diffusive or conductive flux are encountered. Presents the material at a level suitable for a broad audience of scientists and engineers with rudimentary background in ordinary differential equations and integral calculus Clarifies the concept of the fractional Laplacian for functions in one, two, three, or an arbitrary number of dimensions defined over the entire space, satisfying periodicity conditions, or restricted to a finite domain Covers physical and mathematical concepts as well as detailed mathematical derivations Develops a numerical framework for solving differential equations involving the fractional Laplacian and presents specific algorithms accompanied by numerical results in one, two, and three dimensions Discusses viscous flow and physical examples from scientific and engineering disciplines Written by a prolific author well known for his contributions in fluid mechanics, biomechanics, applied mathematics, scientific computing, and computer science, the book emphasizes fundamental ideas and practical numerical computation. It includes original material and novel numerical methods.

Advances in Information Technology Research and Application: 2011 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1464920710
Total Pages : 2431 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Advances in Information Technology Research and Application: 2011 Edition by :

Download or read book Advances in Information Technology Research and Application: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 2431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Information Technology Research and Application: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Information Technology. The editors have built Advances in Information Technology Research and Application: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Information Technology in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Advances in Information Technology Research and Application: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Modulation Spaces

Author : Árpád Bényi
Publisher : Springer Nature
ISBN 13 : 1071603329
Total Pages : 177 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Modulation Spaces by : Árpád Bényi

Download or read book Modulation Spaces written by Árpád Bényi and published by Springer Nature. This book was released on 2020-02-22 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph serves as a much-needed, self-contained reference on the topic of modulation spaces. By gathering together state-of-the-art developments and previously unexplored applications, readers will be motivated to make effective use of this topic in future research. Because modulation spaces have historically only received a cursory treatment, this book will fill a gap in time-frequency analysis literature, and offer readers a convenient and timely resource. Foundational concepts and definitions in functional, harmonic, and real analysis are reviewed in the first chapter, which is then followed by introducing modulation spaces. The focus then expands to the many valuable applications of modulation spaces, such as linear and multilinear pseudodifferential operators, and dispersive partial differential equations. Because it is almost entirely self-contained, these insights will be accessible to a wide audience of interested readers. Modulation Spaces will be an ideal reference for researchers in time-frequency analysis and nonlinear partial differential equations. It will also appeal to graduate students and seasoned researchers who seek an introduction to the time-frequency analysis of nonlinear dispersive partial differential equations.

Control of Higher–Dimensional PDEs

Author : Thomas Meurer
Publisher : Springer Science & Business Media
ISBN 13 : 3642300154
Total Pages : 373 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Control of Higher–Dimensional PDEs by : Thomas Meurer

Download or read book Control of Higher–Dimensional PDEs written by Thomas Meurer and published by Springer Science & Business Media. This book was released on 2012-08-13 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents new model-based design methods for trajectory planning, feedback stabilization, state estimation, and tracking control of distributed-parameter systems governed by partial differential equations (PDEs). Flatness and backstepping techniques and their generalization to PDEs with higher-dimensional spatial domain lie at the core of this treatise. This includes the development of systematic late lumping design procedures and the deduction of semi-numerical approaches using suitable approximation methods. Theoretical developments are combined with both simulation examples and experimental results to bridge the gap between mathematical theory and control engineering practice in the rapidly evolving PDE control area. The text is divided into five parts featuring: - a literature survey of paradigms and control design methods for PDE systems - the first principle mathematical modeling of applications arising in heat and mass transfer, interconnected multi-agent systems, and piezo-actuated smart elastic structures - the generalization of flatness-based trajectory planning and feedforward control to parabolic and biharmonic PDE systems defined on general higher-dimensional domains - an extension of the backstepping approach to the feedback control and observer design for parabolic PDEs with parallelepiped domain and spatially and time varying parameters - the development of design techniques to realize exponentially stabilizing tracking control - the evaluation in simulations and experiments Control of Higher-Dimensional PDEs — Flatness and Backstepping Designs is an advanced research monograph for graduate students in applied mathematics, control theory, and related fields. The book may serve as a reference to recent developments for researchers and control engineers interested in the analysis and control of systems governed by PDEs.

International Conference on Differential Equations, Berlin, Germany, 1-7 August, 1999

Author : Bernold Fiedler
Publisher : World Scientific
ISBN 13 : 9789810249885
Total Pages : 846 pages
Book Rating : 4.2/5 (498 download)

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Book Synopsis International Conference on Differential Equations, Berlin, Germany, 1-7 August, 1999 by : Bernold Fiedler

Download or read book International Conference on Differential Equations, Berlin, Germany, 1-7 August, 1999 written by Bernold Fiedler and published by World Scientific. This book was released on 2000 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences

Partial Differential Equations

Author : A. K. Nandakumaran
Publisher : Cambridge University Press
ISBN 13 : 1108963498
Total Pages : pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Partial Differential Equations by : A. K. Nandakumaran

Download or read book Partial Differential Equations written by A. K. Nandakumaran and published by Cambridge University Press. This book was released on 2020-10-29 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for both senior undergraduate and graduate students, this is a self-contained book dealing with the classical theory of the partial differential equations through a modern approach; requiring minimal previous knowledge. It represents the solutions to three important equations of mathematical physics – Laplace and Poisson equations, Heat or diffusion equation, and wave equations in one and more space dimensions. Keen readers will benefit from more advanced topics and many references cited at the end of each chapter. In addition, the book covers advanced topics such as Conservation Laws and Hamilton-Jacobi Equation. Numerous real-life applications are interspersed throughout the book to retain readers' interest.

Boundary Control of PDEs

Author : Miroslav Krstic
Publisher : SIAM
ISBN 13 : 0898718600
Total Pages : 197 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Boundary Control of PDEs by : Miroslav Krstic

Download or read book Boundary Control of PDEs written by Miroslav Krstic and published by SIAM. This book was released on 2008-01-01 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text's broad coverage includes parabolic PDEs; hyperbolic PDEs of first and second order; fluid, thermal, and structural systems; delay systems; PDEs with third and fourth derivatives in space (including variants of linearized Ginzburg-Landau, Schrodinger, Kuramoto-Sivashinsky, KdV, beam, and Navier-Stokes equations); real-valued as well as complex-valued PDEs; stabilization as well as motion planning and trajectory tracking for PDEs; and elements of adaptive control for PDEs and control of nonlinear PDEs.

PPI Electronics, Controls, and Communications Reference Manual eText - 1 Year

Author : John A. Camara
Publisher : Simon and Schuster
ISBN 13 : 1591266394
Total Pages : 2871 pages
Book Rating : 4.5/5 (912 download)

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Book Synopsis PPI Electronics, Controls, and Communications Reference Manual eText - 1 Year by : John A. Camara

Download or read book PPI Electronics, Controls, and Communications Reference Manual eText - 1 Year written by John A. Camara and published by Simon and Schuster. This book was released on 2019-04-15 with total page 2871 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Edition - Updated for 2019 John A. Camara's Electronics, Controls, and Communications Reference Manual, Second Edition (ELRM2) offers complete review for the NCEES PE Electrical and Computer - Electronics, Controls, and Communications exam. This book is the most up-to-date, comprehensive reference manual available, and is designed to help you pass the exam the first time! Topics Covered General Electrical Engineering Digital Systems Electric and Magnetic Field Theory and Applications Electronics Control System Fundamentals National Electrical and Electrical Safety Codes After you pass Your Electronics, Controls, and Communications Reference Manual will serve as an invaluable reference throughout your electrical engineering career. Key Features: 300 plus solved example problems that illustrate key concepts. Hundreds of figures and tables, 40+ appendices, and 1,500+ equations, making it possible to work exam problems using the reference manual alone. Including an easy-to-use index and a full glossary for quick reference. Recommending a study schedule, plus providing tips for successful exam preparation. Chapters on protection and safety and power system management. Information on phasor notation, cosine functions, power supplies, electronic instrumentation and insulation, ground testing, and digital modulation. Content that exclusively covers the NCEES PE Electrical: Electronics, Controls, and Communications exam specifications. Binding: Paperback Publisher: PPI, A Kaplan Company

Algorithms for Computer Algebra

Author : Keith O. Geddes
Publisher : Springer Science & Business Media
ISBN 13 : 0585332479
Total Pages : 594 pages
Book Rating : 4.5/5 (853 download)

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Book Synopsis Algorithms for Computer Algebra by : Keith O. Geddes

Download or read book Algorithms for Computer Algebra written by Keith O. Geddes and published by Springer Science & Business Media. This book was released on 2007-06-30 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields.