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Author : Tepper L. Gill
Publisher :
Page : 248 pages
File Size : 11,4 MB
Release : 2014-01-15
Category :
ISBN : 9783662189238
Author : T.L. Gill
Publisher : Springer
Page : 194 pages
File Size : 35,79 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540477918
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 : Springer
Page : 242 pages
File Size : 16,1 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540466797
Author :
Publisher :
Page : pages
File Size : 47,15 MB
Release : 1987
Category :
ISBN :
Author : Tepper L. Gill
Publisher : Springer Verlag
Page : 185 pages
File Size : 19,56 MB
Release : 1987
Category : Mathematics
ISBN : 9780387177410
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
Page : 97 pages
File Size : 20,19 MB
Release : 2022-06-09
Category : Mathematics
ISBN : 1009229826
First published 1992; Re-issued 2008; Reprinted with Introduction 2022.
Author : Imme van den Berg
Publisher :
Page : 185 pages
File Size : 34,64 MB
Release : 1964
Category : Asymptotic expansions
ISBN : 9780387177410
Author : A.V. Babin
Publisher : Elsevier
Page : 543 pages
File Size : 47,97 MB
Release : 1992-03-09
Category : Mathematics
ISBN : 0080875467
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 : Alexander Komech
Publisher : Cambridge University Press
Page : 229 pages
File Size : 36,74 MB
Release : 2021-09-30
Category : Mathematics
ISBN : 1316516911
The first monograph on the theory of global attractors of Hamiltonian partial differential equations.
Author : Tepper Gill
Publisher :
Page : 13 pages
File Size : 14,25 MB
Release : 1987
Category :
ISBN :
This conference will focus on nonlinear partial and integrodifferential equations by considering them as infinite-dimensional dynamical systems. One day will be devoted to new classes of equations that arise via mathematical modelling of large flexible space structures. Some of the topics which will be represented are: Nonlinear Semigroups; Dynamical Systems; Attractors; Reduction to Finite Dimensional Systems; Inertial Manifolds; Bifurcation Theory; Control Theory; Compensated Compactness; Nonlinear Evolution Equations; Reaction-Diffusion Equationsl and Stability Analysis of PDE's.