Dynamics of Evolutionary Equations

The theory and applications of infinite dimensional dynamical systems have attracted the attention of scientists for quite some time. Dynamical issues arise in equations that attempt to model phenomena that change with time. The infi­ nite dimensional aspects occur when forces that describe the moti...

Full description

Main Authors: Sell, George R., You, Yuncheng (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY Springer New York 2002, 2002
Edition:1st ed. 2002
Series:Applied Mathematical Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 02808nmm a2200385 u 4500
001 EB000632028
003 EBX01000000000000000485110
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9781475750379 
100 1 |a Sell, George R. 
245 0 0 |a Dynamics of Evolutionary Equations  |h Elektronische Ressource  |c by George R. Sell, Yuncheng You 
250 |a 1st ed. 2002 
260 |a New York, NY  |b Springer New York  |c 2002, 2002 
300 |a XIV, 672 p  |b online resource 
505 0 |a Basic Theory -- 3. Linear Semigroups -- 4. Basic Theory of Evolutionary Equations -- 5. Nonlinear Partial Differential Equations -- 6. Navier-Stokes Dynamics -- 7. Major Features of Dynamical Systems -- 8. Inertial Manifolds: The Reduction Principle -- Appendices: Basics of Functional Analysis -- A Banach Spaces and Fréchet Spaces -- B Function Spaces and Sobolev Imbedding Theorems -- C Calculus of Vector-Valued Functions -- D Basic Inequalities -- E Commentary -- Notation Index 
653 |a Topology 
653 |a Mathematical analysis 
653 |a Statistical physics 
653 |a Complex Systems 
653 |a Topology 
653 |a Statistical Physics and Dynamical Systems 
653 |a Analysis (Mathematics) 
653 |a Dynamical systems 
653 |a Analysis 
700 1 |a You, Yuncheng  |e [author] 
710 2 |a SpringerLink (Online service) 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Applied Mathematical Sciences 
856 |u https://doi.org/10.1007/978-1-4757-5037-9?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 515 
520 |a The theory and applications of infinite dimensional dynamical systems have attracted the attention of scientists for quite some time. Dynamical issues arise in equations that attempt to model phenomena that change with time. The infi­ nite dimensional aspects occur when forces that describe the motion depend on spatial variables, or on the history of the motion. In the case of spatially depen­ dent problems, the model equations are generally partial differential equations, and problems that depend on the past give rise to differential-delay equations. Because the nonlinearities occurring in thse equations need not be small, one needs good dynamical theories to understand the longtime behavior of solutions. Our basic objective in writing this book is to prepare an entree for scholars who are beginning their journey into the world of dynamical systems, especially in infinite dimensional spaces. In order to accomplish this, we start with the key concepts of a semiflow and a flow. As is well known, the basic elements of dynamical systems, such as the theory of attractors and other invariant sets, have their origins here