Nonlinear Evolution Equations - Global Behavior of Solutions PDF Download
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Author: Alain Haraux
Publisher: Springer
ISBN: 3540385347
Category : Mathematics
Languages : en
Pages : 324
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Book Description
Author: Alain Haraux
Publisher: Springer
ISBN: 3540385347
Category : Mathematics
Languages : en
Pages : 324
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Book Description
Author: Michael G. Crandall
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 282
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Book Description
This volume constitutes the proceedings of the Symposium on Nonlinear Evolution Equations held in Madison, October 17-19, 1977. The thirteen papers presented herein follow the order of the corresponding lectures. This symposium was sponsored by the Army Research Office, the National Science Foundation, and the Office of Naval Research.
Author: Songmu Zheng
Publisher: CRC Press
ISBN: 0203492226
Category : Mathematics
Languages : en
Pages : 303
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Book Description
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
Author: Songmu Zheng
Publisher: CRC Press
ISBN: 1135436479
Category : Mathematics
Languages : en
Pages : 302
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Book Description
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 methods, the monotone iterative method and invariant regions, the global existence and uniqueness theory for small initial data, and the asymptotic behavior of solutions and global attractors. Many of the results are published in book form for the first time. Bibliographic comments in each chapter provide the reader with references and further reading materials to enable further research and study.
Author: Gheorghe Morosanu
Publisher: Springer Science & Business Media
ISBN: 9789027724861
Category : Science
Languages : en
Pages : 362
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Book Description
Author: Tatsien Li
Publisher: World Scientific
ISBN: 9814546429
Category :
Languages : en
Pages : 286
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Book Description
This volume contains 30 research papers presenting the recent development and trend on the following subjects: nonlinear hyperbolic equations (systems); nonlinear parabolic equations (systems); infinite-dimensional dynamical systems; applications (free boundary problems, phase transitions, etc.).
Author: Nina B. Maslova
Publisher: World Scientific
ISBN: 9789810211622
Category : Mathematics
Languages : en
Pages : 210
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Book Description
The book is devoted to the questions of the long-time behavior of solutions for evolution equations, connected with kinetic models in statistical physics. There is a wide variety of problems where such models are used to obtain reasonable physical as well as numerical results (Fluid Mechanics, Gas Dynamics, Plasma Physics, Nuclear Physics, Turbulence Theory etc.). The classical examples provide the nonlinear Boltzmann equation. Investigation of the long-time behavior of the solutions for the Boltzmann equation gives an approach to the nonlinear fluid dynamic equations. From the viewpoint of dynamical systems, the fluid dynamic equations arise in the theory as a tool to describe an attractor of the kinetic equation.
Author: Reinhard Racke
Publisher: Birkhäuser
ISBN: 3319218735
Category : Mathematics
Languages : en
Pages : 315
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Book Description
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 priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behaviour of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial boundary value problems and for open questions are provided. In this second edition, initial-boundary value problems in waveguides are additionally considered.
Author: H. W. Knobloch
Publisher: Springer
ISBN: 3540386785
Category : Mathematics
Languages : en
Pages : 693
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Book Description
Author: Nakao Hayashi
Publisher: Springer Science & Business Media
ISBN: 3540320598
Category : Mathematics
Languages : en
Pages : 570
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Book Description
Many of problems of the natural sciences lead to nonlinear partial differential equations. However, only a few of them have succeeded in being solved explicitly. Therefore different methods of qualitative analysis such as the asymptotic methods play a very important role. This is the first book in the world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.
