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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. NavierStokes 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 VectorValued 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 6392

989 


b SBA
a Springer Book Archives 2004

490 
0 

a Applied Mathematical Sciences

856 


u https://doi.org/10.1007/9781475750379?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 differentialdelay 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
