Attractors for infinite-dimensional non-autonomous dynamical systems
著者
書誌事項
Attractors for infinite-dimensional non-autonomous dynamical systems
（Applied mathematical sciences, v. 182）
Springer, c2013
- softcover
大学図書館所蔵 件 / 全23件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 393-403) and index
"Softcover reprint of the hardcover 1st edition 2013"--T.p verso
内容説明・目次
内容説明
The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence.
The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear indications will be given as to which material is fundamental and which is more advanced, so that those new to the area can quickly obtain an overview, while those already involved can pursue the topics we cover more deeply.
目次
The pullback attractor.- Existence results for pullback attractors.- Continuity of attractors.- Finite-dimensional attractors.- Gradient semigroups and their dynamical properties.- Semilinear Differential Equations.- Exponential dichotomies.- Hyperbolic solutions and their stable and unstable manifolds.- A non-autonomous competitive Lotka-Volterra system.- Delay differential equations.-The Navier-Stokes equations with non-autonomous forcing.- Applications to parabolic problems.- A non-autonomous Chafee-Infante equation.- Perturbation of diffusion and continuity of attractors with rate.- A non-autonomous damped wave equation.- References.- Index.-
「Nielsen BookData」 より
