From Particle Systems to Partial Differential Equations

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Publisher : Springer
ISBN 13 : 9783030697860
Total Pages : 400 pages
Book Rating : 4.6/5 (978 download)

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Book Synopsis From Particle Systems to Partial Differential Equations by : Cédric Bernardin

Download or read book From Particle Systems to Partial Differential Equations written by Cédric Bernardin and published by Springer. This book was released on 2022-06-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes the joint proceedings of the International Conference on Particle Systems and PDEs VI, VII and VIII. Particle Systems and PDEs VI was held in Nice, France, in November/December 2017, Particle Systems and PDEs VII was held in Palermo, Italy, in November 2018, and Particle Systems and PDEs VIII was held in Lisbon, Portugal, in December 2019. Most of the papers are dealing with mathematical problems motivated by different applications in physics, engineering, economics, chemistry and biology. They illustrate methods and topics in the study of particle systems and PDEs and their relation. The book is recommended to probabilists, analysts and to those mathematicians in general, whose work focuses on topics in mathematical physics, stochastic processes and differential equations, as well as to those physicists who work in statistical mechanics and kinetic theory.

Partial Differential Equations

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Publisher : John Wiley & Sons
ISBN 13 : 0470054565
Total Pages : 467 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Partial Differential Equations by : Walter A. Strauss

Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.

Partial Differential Equations VIII

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Publisher : Springer Science & Business Media
ISBN 13 : 3642489443
Total Pages : 266 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Partial Differential Equations VIII by : M.A. Shubin

Download or read book Partial Differential Equations VIII written by M.A. Shubin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the EMS contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schroedinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the Atiyah-Singer index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples.

Partial Differential Equations VIII

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Publisher : Springer
ISBN 13 : 9783642489457
Total Pages : 261 pages
Book Rating : 4.4/5 (894 download)

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Book Synopsis Partial Differential Equations VIII by : M.A. Shubin

Download or read book Partial Differential Equations VIII written by M.A. Shubin and published by Springer. This book was released on 2014-10-05 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Progress in Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3319001256
Total Pages : 448 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Progress in Partial Differential Equations by : Michael Reissig

Download or read book Progress in Partial Differential Equations written by Michael Reissig and published by Springer Science & Business Media. This book was released on 2013-03-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope of research topics in partial differential equations and their applications. The contributors were participants of the 8th ISAAC congress in Moscow in 2011 or are members of the PDE interest group of the ISAAC society. This volume is addressed to graduate students at various levels as well as researchers in partial differential equations and related fields. The readers will find this an excellent resource of both introductory and advanced material. The key topics are: • Linear hyperbolic equations and systems (scattering, symmetrisers) • Non-linear wave models (global existence, decay estimates, blow-up) • Evolution equations (control theory, well-posedness, smoothing) • Elliptic equations (uniqueness, non-uniqueness, positive solutions) • Special models from applications (Kirchhoff equation, Zakharov-Kuznetsov equation, thermoelasticity)

Modern Aspects of the Theory of Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 303480069X
Total Pages : 368 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Modern Aspects of the Theory of Partial Differential Equations by : Michael Ruzhansky

Download or read book Modern Aspects of the Theory of Partial Differential Equations written by Michael Ruzhansky and published by Springer Science & Business Media. This book was released on 2011-05-04 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a quick overview of a wide range of active research areas in partial differential equations. The book can serve as a useful source of information to mathematicians, scientists and engineers. The volume contains contributions from authors from a large variety of countries on different aspects of partial differential equations, such as evolution equations and estimates for their solutions, control theory, inverse problems, nonlinear equations, elliptic theory on singular domains, numerical approaches.

Partial Differential Equations

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Publisher : Cambridge University Press
ISBN 13 : 9780521277594
Total Pages : 536 pages
Book Rating : 4.2/5 (775 download)

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Book Synopsis Partial Differential Equations by : Joseph Wloka

Download or read book Partial Differential Equations written by Joseph Wloka and published by Cambridge University Press. This book was released on 1987-05-21 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous introduction to the abstract theory of partial differential equations progresses from the theory of distribution and Sobolev spaces to Fredholm operations, the Schauder fixed point theorem and Bochner integrals.

Partial Differential Equations

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Publisher : Birkhäuser
ISBN 13 : 9780817645519
Total Pages : 389 pages
Book Rating : 4.6/5 (455 download)

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Book Synopsis Partial Differential Equations by : Emmanuele DiBenedetto

Download or read book Partial Differential Equations written by Emmanuele DiBenedetto and published by Birkhäuser. This book was released on 2009-11-13 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a self-contained introduction to partial differential equations (PDEs), primarily focusing on linear equations, and also providing perspective on nonlinear equations. The treatment is mathematically rigorous with a generally theoretical layout, with indications to some of the physical origins of PDEs. The Second Edition is rewritten to incorporate years of classroom feedback, to correct errors and to improve clarity. The exposition offers many examples, problems and solutions to enhance understanding. Requiring only advanced differential calculus and some basic Lp theory, the book will appeal to advanced undergraduates and graduate students, and to applied mathematicians and mathematical physicists.

Partial Differential Equations in Action

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Publisher : Springer
ISBN 13 : 3319154168
Total Pages : 431 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Partial Differential Equations in Action by : Sandro Salsa

Download or read book Partial Differential Equations in Action written by Sandro Salsa and published by Springer. This book was released on 2015-05-30 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents problems and exercises at various levels of difficulty in the following areas: Classical Methods in PDEs (diffusion, waves, transport, potential equations); Basic Functional Analysis and Distribution Theory; Variational Formulation of Elliptic Problems; and Weak Formulation for Parabolic Problems and for the Wave Equation. Thanks to the broad variety of exercises with complete solutions, it can be used in all basic and advanced PDE courses.

A Course on Partial Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 1470442922
Total Pages : 205 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Course on Partial Differential Equations by : Walter Craig

Download or read book A Course on Partial Differential Equations written by Walter Craig and published by American Mathematical Soc.. This book was released on 2018-12-12 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Does entropy really increase no matter what we do? Can light pass through a Big Bang? What is certain about the Heisenberg uncertainty principle? Many laws of physics are formulated in terms of differential equations, and the questions above are about the nature of their solutions. This book puts together the three main aspects of the topic of partial differential equations, namely theory, phenomenology, and applications, from a contemporary point of view. In addition to the three principal examples of the wave equation, the heat equation, and Laplace's equation, the book has chapters on dispersion and the Schrödinger equation, nonlinear hyperbolic conservation laws, and shock waves. The book covers material for an introductory course that is aimed at beginning graduate or advanced undergraduate level students. Readers should be conversant with multivariate calculus and linear algebra. They are also expected to have taken an introductory level course in analysis. Each chapter includes a comprehensive set of exercises, and most chapters have additional projects, which are intended to give students opportunities for more in-depth and open-ended study of solutions of partial differential equations and their properties.

Meshfree Methods for Partial Differential Equations VIII

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Publisher : Springer
ISBN 13 : 3319519549
Total Pages : 240 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations VIII by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations VIII written by Michael Griebel and published by Springer. This book was released on 2017-04-05 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s. The growing interest in these methods is in part due to the fact that they offer extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods have a number of advantageous features that are especially attractive when dealing with multiscale phenomena: A-priori knowledge about the solution’s particular local behavior can easily be introduced into the meshfree approximation space, and coarse scale approximations can be seamlessly refined by adding fine scale information. However, the implementation of meshfree methods and their parallelization also requires special attention, for instance with respect to numerical integration.

Functional Analysis, Sobolev Spaces and Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 0387709142
Total Pages : 600 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Functional Analysis, Sobolev Spaces and Partial Differential Equations by : Haim Brezis

Download or read book Functional Analysis, Sobolev Spaces and Partial Differential Equations written by Haim Brezis and published by Springer Science & Business Media. This book was released on 2010-11-02 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

A Treatise on Ordinary and Partial Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis A Treatise on Ordinary and Partial Differential Equations by : William Woolsey Johnson

Download or read book A Treatise on Ordinary and Partial Differential Equations written by William Woolsey Johnson and published by . This book was released on 1889 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Partial Differential Equations with Applications

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Publisher : Courier Corporation
ISBN 13 : 048613217X
Total Pages : 432 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Partial Differential Equations with Applications by : E. C. Zachmanoglou

Download or read book Introduction to Partial Differential Equations with Applications written by E. C. Zachmanoglou and published by Courier Corporation. This book was released on 2012-04-20 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.

Partial Differential Equations IX

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540570448
Total Pages : 296 pages
Book Rating : 4.5/5 (74 download)

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Book Synopsis Partial Differential Equations IX by : Youri Egorov

Download or read book Partial Differential Equations IX written by Youri Egorov and published by Springer Science & Business Media. This book was released on 1996-12-16 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This EMS volume gives an overview of the modern theory of elliptic boundary value problems, with contributions focusing on differential elliptic boundary problems and their spectral properties, elliptic pseudodifferential operators, and general differential elliptic boundary value problems in domains with singularities.

Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations

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Publisher : World Scientific
ISBN 13 : 9789810213572
Total Pages : 328 pages
Book Rating : 4.2/5 (135 download)

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Book Synopsis Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations by : Ratan Prakash Agarwal

Download or read book Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations written by Ratan Prakash Agarwal and published by World Scientific. This book was released on 1993 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and offers some directions towards possible solutions.

Lectures on Partial Differential Equations

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Publisher : Courier Corporation
ISBN 13 : 0486155080
Total Pages : 261 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Lectures on Partial Differential Equations by : I. G. Petrovsky

Download or read book Lectures on Partial Differential Equations written by I. G. Petrovsky and published by Courier Corporation. This book was released on 2012-12-13 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.