Attractors of Evolution Equations - 4 Angebote vergleichen
Bester Preis: € 52,94 (vom 18.04.2017)1
Attractors of Evolution Equations
EN NWISBN: 9780080875460 bzw. 0080875467, in Englisch, North Holland, neu.
Lieferung aus: Vereinigte Staaten von Amerika, Lagernd, zzgl. Versandkosten.
Mathematics and Statistics, 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 - 8 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 - +8, 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 - 8 of solutions for evolutionary equations.
Mathematics and Statistics, 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 - 8 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 - +8, 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 - 8 of solutions for evolutionary equations.
2
Attractors of Evolution Equations
EN NW EB DLISBN: 9780080875460 bzw. 0080875467, in Englisch, Elsevier Science, neu, E-Book, elektronischer Download.
Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Despatched same working day before 3pm.
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.
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.
3
Attractors of Evolution Equations
DE NW EBISBN: 9780080875460 bzw. 0080875467, in Deutsch, Pergamon; Pergamon Press, Vereinigte Staaten von Amerika, neu, E-Book.
Lieferung aus: Deutschland, zzgl. Versandkosten, Sofort per Download lieferbar.
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