Mathematical Methods for Hydrodynamic Limits (Lecture Notes in Mathematics, 1501)
DeMasi, Anna; Presutti, Errico; De Masi, Anna
ISBN 10: 3540550046 ISBN 13: 9783540550044
Published by Springer, 1992
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Entropy inequalities, correlation functions, couplings between stochastic processes are powerful techniques which have been extensively used to give arigorous foundation to the theory of complex, many component systems and to its many applications in a variety of fields as physics, biology, population dynamics, economics, . . . The purpose of the book is to make theseand other mathematical methods accessible to readers with a limited background in probability and physics by examining in detail a few models where the techniques emerge clearly, while extra difficulties arekept to a minimum. Lanford's method and its extension to the hierarchy of equations for the truncated correlation functions, the v-functions, are presented and applied to prove the validity of macroscopic equations forstochastic particle systems which are perturbations of the independent and of the symmetric simple exclusion processes. Entropy inequalities are discussed in the frame of the Guo-Papanicolaou-Varadhan technique and of theKipnis-Olla-Varadhan super exponential estimates, with reference to zero-range models. Discrete velocity Boltzmann equations, reaction diffusion equations and non linear parabolic equations are considered, as limits of particles models. Phase separation phenomena are discussed in the context of Glauber+Kawasaki evolutions and reaction diffusion equations. Although the emphasis is onthe mathematical aspects, the physical motivations are explained through theanalysis of the single models, without attempting, however to survey the entire subject of hydrodynamical limits.
Product Description: The purpose of this text is to make accessible to readers with a limited background in probability theory such mathematical methods as entropy inequalities, correlation functions and couplings between stochastic processes.
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Title: Mathematical Methods for Hydrodynamic Limits...
Publisher: Springer
Publication Date: 1992
Binding: Soft cover
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Mathematical Methods for Hydrodynamic Limits (Lecture Notes in Mathematics) (Volume 1501)
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Mathematical Methods for Hydrodynamic Limits. Lecture notes in mathematics; Bd. 1501.
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Mathematical Methods for Hydrodynamic Limits (Lecture Notes in Mathematics, 1501)
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Mathematical Methods for Hydrodynamic Limits
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Springer Berlin Heidelberg, 1992
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Entropy inequalities, correlation functions, couplingsbetween stochastic processes are powerful techniques whichhave been extensively used to give arigorous foundation tothe theory of complex, many component systems and to itsmany applications in a variet. Seller Inventory # 4893413
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Mathematical Methods for Hydrodynamic Limits
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Taschenbuch. Condition: Neu. Neuware -Entropy inequalities, correlation functions, couplingsbetween stochastic processes are powerful techniques whichhave been extensively used to give arigorous foundation tothe theory of complex, many component systems and to itsmany applications in a variety of fields as physicsbiology, population dynamics, economics, .The purpose of the book is to make theseand othermathematical methods accessible to readers with a limitedbackground in probability and physics by examining in detaila few models where the techniques emerge clearly, whileextra difficulties arekept to a minimum.Lanford's method and its extension to the hierarchy ofequations for the truncated correlation functions, thev-functions, are presented and applied to prove the validityof macroscopic equations forstochastic particle systemswhich are perturbations of the independent and of thesymmetric simple exclusion processes. Entropy inequalitiesare discussed in the frame of the Guo-Papanicolaou-Varadhantechnique and of theKipnis-Olla-Varadhan super exponentialestimates, with reference to zero-range models. Discretevelocity Boltzmann equations, reaction diffusionequations and non linear parabolic equations are consideredas limits of particles models. Phase separation phenomenaare discussed in the context of Glauber+Kawasaki evolutionsand reaction diffusion equations. Although the emphasis isonthe mathematical aspects, the physical motivations areexplained through theanalysis of the single models, withoutattempting, however to survey the entire subject ofhydrodynamical limits. 208 pp. Englisch. Seller Inventory # 9783540550044
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Mathematical Methods for Hydrodynamic Limits
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Entropy inequalities, correlation functions, couplingsbetween stochastic processes are powerful techniques whichhave been extensively used to give arigorous foundation tothe theory of complex, many component systems and to itsmany applications in a variety of fields as physics,biology, population dynamics, economics, .The purpose of the book is to make theseand othermathematical methods accessible to readers with a limitedbackground in probability and physics by examining in detaila few models where the techniques emerge clearly, whileextra difficulties arekept to a minimum.Lanford's method and its extension to the hierarchy ofequations for the truncated correlation functions, thev-functions, are presented and applied to prove the validityof macroscopic equations forstochastic particle systemswhich are perturbations of the independent and of thesymmetric simple exclusion processes. Entropy inequalitiesare discussed in the frame of the Guo-Papanicolaou-Varadhantechnique and of theKipnis-Olla-Varadhan super exponentialestimates, with reference to zero-range models. Discretevelocity Boltzmann equations, reaction diffusionequations and non linear parabolic equations are considered,as limits of particles models. Phase separation phenomenaare discussed in the context of Glauber+Kawasaki evolutionsand reaction diffusion equations. Although the emphasis isonthe mathematical aspects, the physical motivations areexplained through theanalysis of the single models, withoutattempting, however to survey the entire subject ofhydrodynamical limits. Seller Inventory # 9783540550044
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Mathematical Methods for Hydrodynamic Limits
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ISBN 13: 9783540550044
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Entropy inequalities, correlation functions, couplingsbetween stochastic processes are powerful techniques whichhave been extensively used to give arigorous foundation tothe theory of complex, many component systems and to itsmany applications in a variety of fields as physics,biology, population dynamics, economics, .The purpose of the book is to make theseand othermathematical methods accessible to readers with a limitedbackground in probability and physics by examining in detaila few models where the techniques emerge clearly, whileextra difficulties arekept to a minimum.Lanford's method and its extension to the hierarchy ofequations for the truncated correlation functions, thev-functions, are presented and applied to prove the validityof macroscopic equations forstochastic particle systemswhich are perturbations of the independent and of thesymmetric simple exclusion processes. Entropy inequalitiesare discussed in the frame of the Guo-Papanicolaou-Varadhantechnique and of theKipnis-Olla-Varadhan super exponentialestimates, with reference to zero-range models. Discretevelocity Boltzmann equations, reaction diffusionequations and non linear parabolic equations are considered,as limits of particles models. Phase separation phenomenaare discussed in the context of Glauber+Kawasaki evolutionsand reaction diffusion equations. Although the emphasis isonthe mathematical aspects, the physical motivations areexplained through theanalysis of the single models, withoutattempting, however to survey the entire subject ofhydrodynamical limits. 208 pp. Englisch. Seller Inventory # 9783540550044
Mathematical Methods for Hydrodynamic Limits
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Taschenbuch. Condition: Neu. Mathematical Methods for Hydrodynamic Limits | Errico Presutti (u. a.) | Taschenbuch | Einband - flex.(Paperback) | Englisch | 1992 | Springer Berlin | EAN 9783540550044 | Verantwortliche Person für die EU: Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, productsafety[at]springernature[dot]com | Anbieter: preigu. Seller Inventory # 102135731
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Mathematical Methods for Hydrodynamic Limits (Lecture Notes in Mathematics)
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