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Stochastic Ordinary and Stochastic Partial Differential Equations: Transition from Microscopic to Macroscopic Equations - Couverture rigide
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Stochastic Partial Differential Equations analyzes mathematical models of time-dependent physical phenomena on microscopic, macroscopic and mesoscopic levels. It provides a rigorous derivation of each level from the preceding one and examines the resulting mesoscopic equations in detail. Coverage first describes the transition from the microscopic equations to the mesoscopic equations. It then covers a general system for the positions of the large particles.
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- ÉditeurSpringer-Verlag New York Inc.
- Date d'édition2007
- ISBN 10 0387743162
- ISBN 13 9780387743165
- ReliureRelié
- Langueanglais
- Nombre de pages459
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Stochastic Ordinary and Stochastic Partial Differential Equations : Transition from Microscopic to Macroscopic Equations. Stochastic Modelling and Applied Probability ; 58
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ISBN 10 : 0387743162
ISBN 13 : 9780387743165
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Stochastic Ordinary And Stochastic Partial Differential Equations (Hb 2007)
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Stochastic Ordinary and Stochastic Partial Differential Equations
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Stochastic Ordinary and Stochastic Partial Differential Equations
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Stochastic Ordinary and Stochastic Partial Differential Equations
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Stochastic Ordinary And Stochastic Partial Differential Equations (Hb)
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Stochastic Ordinary and Stochastic Partial Differential Equations
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Springer New York, 2007
ISBN 10 : 0387743162
ISBN 13 : 9780387743165
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Couverture rigide
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Analyzes mathematical models of time-dependent physical phenomena on three levels including microscopic, mesoscopic and macroscopic.Stochastic Partial Differential Equations analyzes mathematical models of time-dependent physical phenomena on . N° de réf. du vendeur 5910872
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Stochastic Ordinary and Stochastic Partial Differential Equations
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Springer New York Dez 2007, 2007
ISBN 10 : 0387743162
ISBN 13 : 9780387743165
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Stochastic Partial Differential Equations analyzes mathematical models of time-dependent physical phenomena on microscopic, macroscopic and mesoscopic levels. It provides a rigorous derivation of each level from the preceding one and examines the resulting mesoscopic equations in detail. Coverage first describes the transition from the microscopic equations to the mesoscopic equations. It then covers a general system for the positions of the large particles. 472 pp. Englisch. N° de réf. du vendeur 9780387743165
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Stochastic Ordinary and Stochastic Partial Differential Equations
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Springer New York, Springer New York Dez 2007, 2007
ISBN 10 : 0387743162
ISBN 13 : 9780387743165
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. Neuware -The present volume analyzes mathematical models of time-dependent physical p- nomena on three levels: microscopic, mesoscopic, and macroscopic. We provide a rigorous derivation of each level from the preceding level and the resulting me- scopic equations are analyzed in detail. Following Haken (1983, Sect. 1. 11. 6) we deal, ¿at the microscopic level, with individual atoms or molecules, described by their positions, velocities, and mutual interactions. At the mesoscopic level, we describe the liquid by means of ensembles of many atoms or molecules. The - tension of such an ensemble is assumed large compared to interatomic distances but small compared to the evolving macroscopic pattern. . . . At the macroscopic level we wish to study the corresponding spatial patterns. ¿ Typically, at the mac- scopic level, the systems under consideration are treated as spatially continuous systems such as uids or a continuous distribution of some chemical reactants, etc. Incontrast,onthemicroscopiclevel,Newtonianmechanicsgovernstheequationsof 1 motion of the individual atoms or molecules. These equations are cast in the form 2 of systems of deterministic coupled nonlinear oscillators. The mesoscopic level is probabilistic in nature and many models may be faithfully described by stochastic 3 ordinary and stochastic partial differential equations (SODEs and SPDEs), where the latter are de ned on a continuum. The macroscopic level is described by ti- dependent partial differential equations (PDE¿s) and its generalization and simpl- cations. In our mathematical framework we talk of particles instead of atoms and mo- cules. The transition from the microscopic description to a mesoscopic (i. e.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 472 pp. Englisch. N° de réf. du vendeur 9780387743165
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Stochastic Ordinary and Stochastic Partial Differential Equations : Transition from Microscopic to Macroscopic Equations
Edité par
Springer New York, Springer New York, 2007
ISBN 10 : 0387743162
ISBN 13 : 9780387743165
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The present volume analyzes mathematical models of time-dependent physical p- nomena on three levels: microscopic, mesoscopic, and macroscopic. We provide a rigorous derivation of each level from the preceding level and the resulting me- scopic equations are analyzed in detail. Following Haken (1983, Sect. 1. 11. 6) we deal, 'at the microscopic level, with individual atoms or molecules, described by their positions, velocities, and mutual interactions. At the mesoscopic level, we describe the liquid by means of ensembles of many atoms or molecules. The - tension of such an ensemble is assumed large compared to interatomic distances but small compared to the evolving macroscopic pattern. . . . At the macroscopic level we wish to study the corresponding spatial patterns. ' Typically, at the mac- scopic level, the systems under consideration are treated as spatially continuous systems such as uids or a continuous distribution of some chemical reactants, etc. Incontrast,onthemicroscopiclevel,Newtonianmechanicsgovernstheequationsof 1 motion of the individual atoms or molecules. These equations are cast in the form 2 of systems of deterministic coupled nonlinear oscillators. The mesoscopic level is probabilistic in nature and many models may be faithfully described by stochastic 3 ordinary and stochastic partial differential equations (SODEs and SPDEs), where the latter are de ned on a continuum. The macroscopic level is described by ti- dependent partial differential equations (PDE's) and its generalization and simpl- cations. In our mathematical framework we talk of particles instead of atoms and mo- cules. The transition from the microscopic description to a mesoscopic (i. e. N° de réf. du vendeur 9780387743165
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