Borrow it
 African Studies Library
 Alumni Medical Library
 Astronomy Library
 Fineman and Pappas Law Libraries
 Frederick S. Pardee Management Library
 Howard Gotlieb Archival Research Center
 Mugar Memorial Library
 Music Library
 Pikering Educational Resources Library
 School of Theology Library
 Science & Engineering Library
 Stone Science Library
The Resource Free Boundary Problems in PDEs and Particle Systems, by Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti, (electronic resource)
Free Boundary Problems in PDEs and Particle Systems, by Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti, (electronic resource)
Resource Information
The item Free Boundary Problems in PDEs and Particle Systems, by Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Free Boundary Problems in PDEs and Particle Systems, by Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University 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 PDE’s and stochastic processes can find in this volume an extension of this correspondence to modern mathematical physics
 Language
 eng
 Extent
 VII, 110 p. 2 illus., 1 illus. in color.
 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
 by Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti
 Subject

 Thermodynamics
 Dynamical systems
 Probability Theory and Stochastic Processes
 Heat transfer
 Physics
 Statistical physics
 Mathematical physics
 Probabilities
 Partial differential equations
 Heat engineering
 Partial differential equations
 Engineering Thermodynamics, Heat and Mass Transfer
 Mathematical physics
 Dynamical systems
 Probabilities
 Heat engineering
 Thermodynamics
 Mathematical Physics
 Heat transfer
 Statistical Physics, Dynamical Systems and Complexity
 Electronic resources
 Mass transfer
 Physics
 Mathematics
 Statistical physics
 Mathematical Physics
 Mass transfer
 Physics
 Mathematics
 Mathematical Methods in Physics
 Partial Differential Equations
 Partial Differential Equations
 Thermodynamics
 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 PDE’s and stochastic processes can find in this volume an extension of this correspondence to modern mathematical physics
 http://library.link/vocab/creatorName
 Carinci, Gioia
 Image bit depth
 0
 LC call number
 QA370380
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 De Masi, Anna.
 Giardinà, Cristian.
 Presutti, Errico.
 SpringerLink
 Series statement
 SpringerBriefs in Mathematical Physics,
 Series volume
 12
 http://library.link/vocab/subjectName

 Mathematics
 Partial differential equations
 Probabilities
 Mathematical physics
 Physics
 Statistical physics
 Dynamical systems
 Thermodynamics
 Heat engineering
 Heat transfer
 Mass transfer
 Mathematics
 Partial Differential Equations
 Statistical Physics, Dynamical Systems and Complexity
 Mathematical Physics
 Probability Theory and Stochastic Processes
 Mathematical Methods in Physics
 Engineering Thermodynamics, Heat and Mass Transfer
 Label
 Free Boundary Problems in PDEs and Particle Systems, by Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 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
 VII, 110 p. 2 illus., 1 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319333700
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319333700
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319333700
 Label
 Free Boundary Problems in PDEs and Particle Systems, by Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 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
 VII, 110 p. 2 illus., 1 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319333700
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319333700
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319333700
Subject
 Dynamical systems
 Dynamical systems
 Electronic resources
 Engineering Thermodynamics, Heat and Mass Transfer
 Heat engineering
 Heat engineering
 Heat transfer
 Heat transfer
 Mass transfer
 Mass transfer
 Mathematical Methods in Physics
 Mathematical Physics
 Mathematical Physics
 Mathematical physics
 Mathematical physics
 Mathematics
 Mathematics
 Partial Differential Equations
 Partial Differential Equations
 Partial differential equations
 Partial differential equations
 Physics
 Physics
 Physics
 Probabilities
 Probabilities
 Probability Theory and Stochastic Processes
 Statistical Physics, Dynamical Systems and Complexity
 Statistical physics
 Statistical physics
 Thermodynamics
 Thermodynamics
 Thermodynamics
Member of
Library Locations

African Studies LibraryBorrow it771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US42.350723 71.108227


Astronomy LibraryBorrow it725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US42.350259 71.105717

Fineman and Pappas Law LibrariesBorrow it765 Commonwealth Avenue, Boston, MA, 02215, US42.350979 71.107023

Frederick S. Pardee Management LibraryBorrow it595 Commonwealth Avenue, Boston, MA, 02215, US42.349626 71.099547

Howard Gotlieb Archival Research CenterBorrow it771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US42.350723 71.108227


Music LibraryBorrow it771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350723 71.108227

Pikering Educational Resources LibraryBorrow it2 Silber Way, Boston, MA, 02215, US42.349804 71.101425

School of Theology LibraryBorrow it745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350494 71.107235

Science & Engineering LibraryBorrow it38 Cummington Mall, Boston, MA, 02215, US42.348472 71.102257

Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/FreeBoundaryProblemsinPDEsandParticle/0JT5kYe2wk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/FreeBoundaryProblemsinPDEsandParticle/0JT5kYe2wk/">Free Boundary Problems in PDEs and Particle Systems, by Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Free Boundary Problems in PDEs and Particle Systems, by Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/FreeBoundaryProblemsinPDEsandParticle/0JT5kYe2wk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/FreeBoundaryProblemsinPDEsandParticle/0JT5kYe2wk/">Free Boundary Problems in PDEs and Particle Systems, by Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>