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)

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
Creator
Contributor
Author
Provider
Subject
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
Member of
http://library.link/vocab/creatorName
Carinci, Gioia
Image bit depth
0
LC call number
QA370-380
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)
Instantiates
Publication
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
10.1007/978-3-319-33370-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-33370-0
Label
Free Boundary Problems in PDEs and Particle Systems, by Gioia Carinci, Anna De Masi, Cristian Giardinà, Errico Presutti, (electronic resource)
Publication
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
10.1007/978-3-319-33370-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-33370-0

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