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Sunday, April 26, 2020 | History

1 edition of Nonlinear Partial Differential Equations with Applications found in the catalog.

Nonlinear Partial Differential Equations with Applications

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  • 5 Currently reading

Published by Springer Basel, Imprint: Birkhäuser in Basel .
Written in English

    Subjects:
  • Partial Differential equations,
  • Numerical analysis,
  • Difference and Functional Equations,
  • Computational Mathematics and Numerical Analysis,
  • Mathematics,
  • Functional equations,
  • Computer science

  • About the Edition

    This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts are mainly an introduction into the subject while some others form an advanced textbook.

    The second edition simplifies and extends the exposition at particular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems.

    ------

    The monograph contains a wealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concrete applications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well done, and the presentation, although concise, is clear, elegant and rigorous. (…) this book is a notable addition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the analysis of (...) nonlinear differential models of the real world.

    (Mathematical Reviews)

    Edition Notes

    Statementby Tomáš Roubíček
    SeriesInternational Series of Numerical Mathematics -- 153
    ContributionsSpringerLink (Online service)
    Classifications
    LC ClassificationsQA431
    The Physical Object
    Format[electronic resource] /
    PaginationXX, 476 p. 18 illus., 1 illus. in color.
    Number of Pages476
    ID Numbers
    Open LibraryOL27077632M
    ISBN 109783034805131

    Chapter 1, “Linear Partial Differential Equations,” is a condensed version of the classical theory of second-order linear PDEs and includes the standard methods for solving such equations. Chapter 2, “Nonlinear Model Equations and Variational Principles,” begins with a brief preview of nonlinear PDEs, which are covered in the main part. Nonlinear Analysis and Differential Equations An Introduction Klaus Schmitt out the above and which have applications in many other areas of mathematics, as well. As methods and theories aredeveloped, we shall alsopay particularattention Ω → Rm, then the partial derivative of fof order β,D. Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems, Third Edition 3], [Ergebnisse der Mathematik und ihrer Grenzgebiete, ISSN A series of modern surveys in mathematics Volume 34 of Ergebnisse der Mathematik und ihrer Grenzgebiete: a series of modern surveys in mathematics. Folge 3 5/5(1).


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Nonlinear Partial Differential Equations with Applications by TomГЎЕЎ RoubГ­ДЌek Download PDF EPUB FB2

The book covers several topics of current interest in the field of nonlinear partial differential equations and their Nonlinear Partial Differential Equations with Applications book to the physics of continuous media and particle interactions. It treats the quasigeostrophic equation, integral diffusions, periodic Lorentz gas, Boltzmann equation, and critical dispersive nonlinear Schrödinger.

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. It balances the abstract functional-analysis approach based on nonlinear monotone, pseudomonotone, weakly continuous, or accretive mappings with concrete partial differential equations in their weak (or more general) formulation.

Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems (Ergebnisse der Mathematik und ihrer Grenzgebiete. of Modern Surveys in Mathematics Book 34) - Kindle edition by Struwe, Michael.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Variational Manufacturer: Springer. This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems.

The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo Brand: Birkhäuser Basel.

The discussion then shifts to several applications of nonlinear partial differential equations, including in electrical problems, two-phase flow, hydrodynamics, and heat transfer.

The remaining chapters cover other solution methods for partial differential equations, such as the synergetic approach. Purchase Nonlinear Partial Differential Equations and Their Applications, Volume 31 - 1st Edition.

Print Book & E-Book. ISBNThe book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to the physics of continuous media and particle interactions. It treats the quasigeostrophic equation, integral diffusions, periodic Lorentz gas, Boltzmann equation,Brand: Birkhäuser Basel.

troduce geometers to some of the techniques of partial differential equations, and to introduce those working in partial differential equations to some fas-cinating applications containing many unresolved nonlinear problems arising in geometry.

My intention is that after reading these notes someone will feelCited by: The basic modern approach to boundary-value problems in differential equations of the type ()–() is the so-called energy-method technique which took the name after a-priori estimates. Download Nonlinear Partial Differential Equations with Applications book pdf free download link or read online here in PDF.

Read online Nonlinear Partial Differential Equations with Applications book pdf free download link book now. All books are in clear copy here, and all files are secure so don't worry about it. From the reviews of the second edition:"The monograph is concerned with the study of various classes of nonlinear elliptic and parabolic partial differential equations with many applications.

The book is very well written, the presentation is clear and rigorous, and it contains a comprehensive bibliography. Navier–Stokes differential equations used to simulate airflow around an obstruction. In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear terms.

They describe many different physical systems, ranging from gravitation to fluid dynamics, and have been used in mathematics to. Nonlinear Partial Differential Equations with Applications.

Summary: Concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems.

The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo Format: Kindle. Walter Strauss' Partial Differential Equations: An Introduction is pretty standard as far as undergraduate texts go.

It seems pretty good to me, although it contains many errors, especially in the first edition. (Errata) The presentation style is.

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo.

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a computer model.A special case is ordinary differential equations (ODEs), which deal with functions of a single.

Ordinary and partial differential equations occur in many applications. An ordinary differential equation is a special case of a partial differential equa-tion but the behaviour of solutions is quite different in general.

It is much more complicated in the case of partial differential equations caused by theFile Size: 1MB. Nonlinear Partial Differential Equations with Applications by Tomas Roubicek,available at Book Depository with free delivery worldwide.

Hyperbolic Partial Differential Equations III is a refereed journal issue that explores the applications, theory, and/or applied methods related to hyperbolic partial differential equations, or problems arising out of hyperbolic partial differential equations, in any area of research.

this book deals with whole families of partial differential equations), which can be fixed by the reader at will.

In total, the handbook contains significantly more nonlinear PDEs and. The aim of this is to introduce and motivate partial di erential equations (PDE). The section also places the scope of studies in APM within the vast universe of mathematics. What is a PDE. A partial di erential equation (PDE) is an equation involving partial deriva-tives.

This is not so informative so let’s break it down a bit. Preface to the new edition. Handbook of Nonlinear Partial Differential Equations, a unique reference for scientists and engineers, contains over 3, nonlinear partial differential equations with solutions, as well as exact, symbolic, and numerical methods for solving nonlinear - second- third- fourth- and higher-order nonlinear equations and systems of equations are considered.

ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS: THEORY AND APPLICATIONS, Edition 2 - Ebook written by NITA H.

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This book covers the following topics: Introduction to odes, First-order odes, Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations.

Weakly nonlinear oscillators. Hopf bifurcations. Weakly nonlinear breathers. Stability of numerical schemes for partial differential equations.

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This course is a basic course offered to UG/PG students of Engineering/Science background. It contains existence and uniqueness of solutions of an ODE, homogeneous and non-homogeneous linear systems of differential equations, power series solution of second order homogeneous differential equations.

The area of nonlinear dispersive partial differential equations (PDEs) is a fast developing field which has become exceedingly technical in recent years. With this book, the authors provide a self-contained and accessible introduction for graduate or advanced undergraduate students in mathematics, engineering, and the physical by: Differential Equations for Engineers.

This note covers the following topics: The trigonometric functions, The fundamental theorem of calculus, First-order odes, Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations.

Companion texts, which take the theory of partial differential equations further, are AMS volumetreating more advanced topics in linear PDE, and AMS volumetreating problems in nonlinear PDE. This book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential.

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This book contains the written versions of lectures delivered since in the well-known weekly seminar on Applied Mat Brand: Elsevier Science. The discussion then shifts to several applications of nonlinear partial differential equations, including in electrical problems, two-phase flow, hydrodynamics, and heat transfer.

The remaining chapters cover other solution methods for partial differential equations, such Book Edition: 1. This book tries to point out the mathematical importance of the Partial Differential Equations of First Order (PDEFO) in Physics and Applied Sciences. The intention is to provide mathematicians with a wide view of the applications of this branch.

Now in a Second Edition, this popular book on nonlinear partial differential equations (PDEs) contains expanded coverage on the central topics of applied mathematics in an elementary, highly readable format and is accessible to students and researchers in the field of pure and applied : J.

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The book originally evolved from a two-term graduate course in partial differential equations that I taught many times at Northeastern University. At that time, I felt there was an absence of textbooks that covered both the classical results of partial differential equations and more modern methods, such as functional analysis, which are used Price: $.

The focus of the course is the concepts and techniques for solving the partial differential equations (PDE) that permeate various scientific disciplines. The emphasis is on nonlinear PDE. Applications include problems from fluid dynamics, electrical and mechanical. This book is devoted to the applications of probability theory to the theory of nonlinear partial differential equations.

More precisely, it is shown that all positive solutions for a class of nonlinear elliptic equations in a domain are described in terms of their traces on the boundary of the domain.nonlinear. It is actually linear partial differential equations for which the tech-nique of linear algebra prove to be so effective.

This book is concerned primarly with linear partial differential equations—yet it is the nonlinear partial differen-tial equations that provide the most intriguing questions for research. NonlinearFile Size: 2MB.