Nonlinear Semigroups, Partial Differential Equations and Attractors PDF Download
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Author: T.L. Gill
Publisher: Springer
ISBN: 3540477918
Category : Mathematics
Languages : en
Pages : 194
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Book Description
The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some recent techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts. It soon became clear, however, that the dynamical systems approach interfaced significantly with many important branches of applied mathematics. As a consequence, the scope of this resulting proceedings volume is an enlarged one with coverage of a wider range of research topics.
Author: T.L. Gill
Publisher: Springer
ISBN: 3540477918
Category : Mathematics
Languages : en
Pages : 194
Get Book
Book Description
The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some recent techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts. It soon became clear, however, that the dynamical systems approach interfaced significantly with many important branches of applied mathematics. As a consequence, the scope of this resulting proceedings volume is an enlarged one with coverage of a wider range of research topics.
Author: Tepper L. Gill
Publisher:
ISBN: 9783662189238
Category :
Languages : en
Pages : 248
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Book Description
Author: Tepper L. Gill
Publisher: Springer
ISBN: 3540466797
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Tepper L. Gill
Publisher: Springer Verlag
ISBN: 9780387177410
Category : Mathematics
Languages : en
Pages : 185
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Book Description
The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some recent techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts. It soon became clear, however, that the dynamical systems approach interfaced significantly with many important branches of applied mathematics. As a consequence, the scope of this resulting proceedings volume is an enlarged one with coverage of a wider range of research topics.
Author: Olga A. Ladyzhenskaya
Publisher: Cambridge University Press
ISBN: 1009229826
Category : Mathematics
Languages : en
Pages : 97
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Book Description
First published 1992; Re-issued 2008; Reprinted with Introduction 2022.
Author: Alexander Komech
Publisher: Cambridge University Press
ISBN: 1316516911
Category : Mathematics
Languages : en
Pages : 229
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Book Description
The first monograph on the theory of global attractors of Hamiltonian partial differential equations.
Author: A.V. Babin
Publisher: Elsevier
ISBN: 0080875467
Category : Mathematics
Languages : en
Pages : 543
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Book Description
Problems, ideas and notions from the theory of finite-dimensional dynamical systems have penetrated deeply into the theory of infinite-dimensional systems and partial differential equations. From the standpoint of the theory of the dynamical systems, many scientists have investigated the evolutionary equations of mathematical physics. Such equations include the Navier-Stokes system, magneto-hydrodynamics equations, reaction-diffusion equations, and damped semilinear wave equations. Due to the recent efforts of many mathematicians, it has been established that the attractor of the Navier-Stokes system, which attracts (in an appropriate functional space) as t - ∞ all trajectories of this system, is a compact finite-dimensional (in the sense of Hausdorff) set. Upper and lower bounds (in terms of the Reynolds number) for the dimension of the attractor were found. These results for the Navier-Stokes system have stimulated investigations of attractors of other equations of mathematical physics. For certain problems, in particular for reaction-diffusion systems and nonlinear damped wave equations, mathematicians have established the existence of the attractors and their basic properties; furthermore, they proved that, as t - +∞, an infinite-dimensional dynamics described by these equations and systems uniformly approaches a finite-dimensional dynamics on the attractor U, which, in the case being considered, is the union of smooth manifolds. This book is devoted to these and several other topics related to the behaviour as t - ∞ of solutions for evolutionary equations.
Author: Anatoliĭ Vladimirovich Babin
Publisher: American Mathematical Soc.
ISBN: 9780821841099
Category : Attractors (Mathematics)
Languages : en
Pages : 184
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Book Description
Author: Viorel Barbu
Publisher: World Scientific
ISBN: 981124653X
Category : Mathematics
Languages : en
Pages : 221
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Book Description
This book is concerned with functional methods (nonlinear semigroups of contractions, nonlinear m-accretive operators and variational techniques) in the theory of nonlinear partial differential equations of elliptic and parabolic type. In particular, applications to the existence theory of nonlinear parabolic equations, nonlinear Fokker-Planck equations, phase transition and free boundary problems are presented in details. Emphasis is put on functional methods in partial differential equations (PDE) and less on specific results.
