3 edition of **Nonlinear evolution equations** found in the catalog.

Nonlinear evolution equations

JuМ€ri Engelbrecht

- 352 Want to read
- 10 Currently reading

Published
**1988**
by Longman Scientific & Technical, Wiley in Harlow, Essex, England, New York
.

Written in English

- Nonlinear waves.,
- Evolution equations, Nonlinear.

**Edition Notes**

Statement | J.K. Engelbrecht, V.E. Fridman & E.N. Pelinovski ; edited by A. Jeffrey. |

Series | Pitman research notes in mathematics series,, 180 |

Contributions | Pelinovskiĭ, E. N., Fridman, V. E., Jeffrey, Alan. |

Classifications | |
---|---|

LC Classifications | QA927 .E5413 1988 |

The Physical Object | |

Pagination | 122 p. : |

Number of Pages | 122 |

ID Numbers | |

Open Library | OL2033372M |

ISBN 10 | 0470211482 |

LC Control Number | 88009314 |

The nonlinear evolution equation depending on a real parameter A in some real Banach space E is considered. If E is finite dimensional, this equation represents an ordinary dynamical system, and if E is infinite dimensional it is the abstract version of some class of nonlinear parabolic partial differential equations. Stability, and. Among the topics explored are the existence and properties of solutions of various classes of nonlinear evolution equations, nonlinear imbedding theorems, bifurcations of solutions, and equations of mathematical physics (Navier-Stokes type equations and the nonlinear Schrödinger equation). The book will be useful to researchers and graduate.

frithwilliams.com: Solitons, Nonlinear Evolution Equations and Inverse Scattering (London Mathematical Society Lecture Note Series) () by Ablowitz, M. A.; Clarkson, P. A. and a great selection of similar New, Used and Collectible Books available now at great frithwilliams.com Range: $ - $ The author investigates the global existence and uniqueness of small smooth solutions for nonlinear evolution equations, including nonlinear wave equation, nonlinear heat equation, nonlinear Author: Reinhard Racke.

*Prices in US$ apply to orders placed in the Americas only. Prices in GBP apply to orders placed in Great Britain only. Prices in € represent the retail prices valid in Germany (unless otherwise indicated). This monograph provides a comprehensive overview on a class of nonlinear evolution equations, such as nonlinear Schrodinger equations, nonlinear Klein?Gordon equations, KdV equations as well as Navier?Stokes equations and Boltzmann equations. This book is self-contained and may also be used as an advanced textbook by graduate students in Cited by:

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This book is divided into 13 chapters and begins with reviews of the uniqueness of solution to systems of conservation laws and the computational aspects of Glimm’s method.

The next chapters examine the theoretical and practical aspects of Boltzmann, Navier-Stokes, and evolution equations. Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques.

These include the semig. Gorden equations and nonlinear Schr¨odinger equations from quantum mechanics and Cahn-Hilliard equations from material science, to name just a few, are special examples of nonlinear evolution equations. Com-plexity of nonlinear evolution equations and challenges in their theoret-ical study have attracted a lot of interest from many mathematicians.

This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations.

The book employs the classical method of continuation of local solutions with the Author: Reinhard Racke. Jul 08, · Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing Nonlinear evolution equations book these equations and explains clearly and concisely a wide range of relevant theories and frithwilliams.com by: linear evolution equations.

It contains research papers related to Benilan's work and covers a wide range of nonlinear and linear equations. Special topics are Hamilton-Jacobi equations, the porous medium equation, reaction diffusion systems, integro-differential equations and visco-elasticity, max.

Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations is devoted to inverse scattering problems (ISPs) for differential equations and their application to nonlinear evolution equations (NLEEs).

The book is suitable for anyone who has a mathematical background and interest in functional analysis, partial. Mar 16, · This is a superb book by a highly respectable scholar on nonlinear evolution equations - very clearly written and meant to serve as apt for a senior PhD student, postdoc or faculty member with a desire to learn the frithwilliams.com by: This book brings together several aspects of soliton theory currently only available in research papers.

Emphasis is given to the multi-dimensional problems arising and includes inverse scattering in multi-dimensions, integrable nonlinear evolution equations in multi-dimensions and the ∂ frithwilliams.com by: Get this from a library.

Nonlinear dynamics and evolution equations. [H Brunner; Xiao-Qiang Zhao; Xingfu Zou;] -- "The papers in this volume reflect a broad spectrum of current research activities on the theory and applications of nonlinear dynamics and evolution equations.

They are based on lectures given. This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations.

The book employs the classical method of continuation of local solutions with the. Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science.

This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator. Note: Citations are based on reference standards.

However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied. This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations.

The book employs the classical method of continuation of local solutions with the help of a prioriAuthor: Reinhard Racke. The Journal of Nonlinear Evolution Equations and Applications (JNEEA) is an electronic mathematical journal dedicated to rapid dissemination of high quality papers in all areas and sub-areas of evolution equations and their applications to scientific and engineering problems.

All research articles submitted to JNEEA must undergo rigorous peer. The book will be of interest to applied mathematicians and mathematical physicists working in the area of integrable and solvable non-linear evolution equations; it can also be used as supplementary reading material for general applied mathematics or mathematical physics frithwilliams.com by: 8.

Part II of the book handles evolution problems and introduces every auxiliaries you will need later. Moreover, several PDEs and examples are investigated.

No semigroup theory here, but the other methods. Nonlinear Evolution Equations by Zheng and Infinite-Dimensional Dynamical Systems by Robinson also fits to this description.

Book of Abstracts The Eleventh IMACS International Conference On Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory Athens, Georgia April 17—19, Sponsored by The International Association for Mathematics and Computers in Simulation (IMACS) The Computer Science Department, University of Georgia.

The book in hand is based on lectures which were given at the University of Bonn in the winter semesters of /90 and / The aim of the lectures was to present an elementary, self-contained introduction into some important aspects of the theory of global, small, smooth solutions to initial value problems for non linear evolution equa frithwilliams.com: Reinhard Racke.

Aug 01, · This monograph provides a comprehensive overview on a class of nonlinear evolution equations, such as nonlinear Schrödinger equations, nonlinear Klein–Gordon equations, KdV equations as well as Navier–Stokes equations and Boltzmann equations.

The. Nonlinear Evolution Equations1 John K. Hunter October 1 c John K. Hunter Contents 1 Introduction 1 A central issue in the study of nonlinear evolution equations is that solutions may exist locally in time (that is, for short times) but not globally in time.May 10, · Nonlinear Evolution Equation covers the proceedings of the Symposium by the same title, conducted by the Mathematics Research Center at the University of Wisconsin, Madison on OctoberThis book is divided into 13 chapters and begins with reviews of the uniqueness of solution to systems of conservation laws and the computational Book Edition: 1.Click Download or Read Online button to get dirac structures and integrability of nonlinear evolution equations book now.

This site is like a library, Use search box in the widget to get ebook that you want. Dirac Structures And Integrability Of Nonlinear Evolution Equations.