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The Resource Free boundary problems in PDEs and particle systems, Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti
Free boundary problems in PDEs and particle systems, Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti
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The item Free boundary problems in PDEs and particle systems, Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Free boundary problems in PDEs and particle systems, Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 In this volume a theory for models of transport in the presence of a free boundary is developed. Macroscopic laws of transport are described by PDE's. When the system is open, there are several mechanisms to couple the system with the external forces. Here a class of systems where the interaction with the exterior takes place in correspondence of a free boundary is considered. Both continuous and discrete models sharing the same structure are analysed. In Part I a free boundary problem related to the Stefan Problem is worked out in all details. For this model a new notion of relaxed solution is proposed for which global existence and uniqueness is proven. It is also shown that this is the hydrodynamic limit of the empirical mass density of the associated particle system. In Part II several other models are discussed. The expectation is that the results proved for the basic model extend to these other cases. All the models discussed in this volume have an interest in problems arising in several research fields such as heat conduction, queuing theory, propagation of fire, interface dynamics, population dynamics, evolution of biological systems with selection mechanisms. In general researchers interested in the relations between PDEĺls and stochastic processes can find in this volume an extension of this correspondence to modern mathematical physics
 Language
 eng
 Extent
 1 online resource (vii, 110 pages)
 Contents

 Introduction
 Part I The basic model
 Introduction to Part I
 The basic model, definitions and results
 Regularity properties of the barriers
 Lipschitz and L1 estimates
 Mass transport inequalities
 The limit theorems on barriers
 Brownian motion and the heat equation
 Existence of optimal sequences
 Proof of the main theorem
 The basic particle model and its hydrodynamic limit
 Part II Variants of the basic model
 Introduction to Part II
 Independent walkers with current reservoirs
 Beyond diffusive scaling
 Other models
 Isbn
 9783319333700
 Label
 Free boundary problems in PDEs and particle systems
 Title
 Free boundary problems in PDEs and particle systems
 Statement of responsibility
 Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti
 Subject

 Differential equations, Partial
 Differential equations, Partial
 Electronic books
 Differential calculus & equations
 MATHEMATICS  Mathematical Analysis
 Boundary value problems
 Mathematical physics
 Engineering thermodynamics
 Statistical physics
 Probability & statistics
 MATHEMATICS  Calculus
 Boundary value problems
 Language
 eng
 Summary
 In this volume a theory for models of transport in the presence of a free boundary is developed. Macroscopic laws of transport are described by PDE's. When the system is open, there are several mechanisms to couple the system with the external forces. Here a class of systems where the interaction with the exterior takes place in correspondence of a free boundary is considered. Both continuous and discrete models sharing the same structure are analysed. In Part I a free boundary problem related to the Stefan Problem is worked out in all details. For this model a new notion of relaxed solution is proposed for which global existence and uniqueness is proven. It is also shown that this is the hydrodynamic limit of the empirical mass density of the associated particle system. In Part II several other models are discussed. The expectation is that the results proved for the basic model extend to these other cases. All the models discussed in this volume have an interest in problems arising in several research fields such as heat conduction, queuing theory, propagation of fire, interface dynamics, population dynamics, evolution of biological systems with selection mechanisms. In general researchers interested in the relations between PDEĺls and stochastic processes can find in this volume an extension of this correspondence to modern mathematical physics
 Cataloging source
 N$T
 Dewey number
 515/.353
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA379
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate

 1953
 1942
 http://library.link/vocab/relatedWorkOrContributorName

 Carinci, Gioia
 De Masi, Anna
 Giardinà, Cristian
 Presutti, Errico
 Series statement
 SpringerBriefs in mathematical physics,
 Series volume
 volume 12
 http://library.link/vocab/subjectName

 Boundary value problems
 Differential equations, Partial
 MATHEMATICS
 MATHEMATICS
 Boundary value problems
 Differential equations, Partial
 Statistical physics
 Mathematical physics
 Probability & statistics
 Engineering thermodynamics
 Differential calculus & equations
 Label
 Free boundary problems in PDEs and particle systems, Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Part I The basic model  Introduction to Part I  The basic model, definitions and results  Regularity properties of the barriers  Lipschitz and L1 estimates  Mass transport inequalities  The limit theorems on barriers  Brownian motion and the heat equation  Existence of optimal sequences  Proof of the main theorem  The basic particle model and its hydrodynamic limit  Part II Variants of the basic model  Introduction to Part II  Independent walkers with current reservoirs  Beyond diffusive scaling  Other models
 Dimensions
 unknown
 Extent
 1 online resource (vii, 110 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783319333700
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Note
 SpringerLink
 Other control number
 10.1007/9783319333700
 Other physical details
 illustrations (some color).
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)952108577
 (OCoLC)ocn952108577
 Label
 Free boundary problems in PDEs and particle systems, Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Part I The basic model  Introduction to Part I  The basic model, definitions and results  Regularity properties of the barriers  Lipschitz and L1 estimates  Mass transport inequalities  The limit theorems on barriers  Brownian motion and the heat equation  Existence of optimal sequences  Proof of the main theorem  The basic particle model and its hydrodynamic limit  Part II Variants of the basic model  Introduction to Part II  Independent walkers with current reservoirs  Beyond diffusive scaling  Other models
 Dimensions
 unknown
 Extent
 1 online resource (vii, 110 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783319333700
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Note
 SpringerLink
 Other control number
 10.1007/9783319333700
 Other physical details
 illustrations (some color).
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)952108577
 (OCoLC)ocn952108577
Subject
 Boundary value problems
 Boundary value problems
 Differential calculus & equations
 Differential equations, Partial
 Differential equations, Partial
 Electronic books
 Engineering thermodynamics
 MATHEMATICS  Calculus
 MATHEMATICS  Mathematical Analysis
 Mathematical physics
 Probability & statistics
 Statistical physics
Genre
Member of
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