The Resource From kinetic models to hydrodynamics : some novel results, Matteo Colangeli
From kinetic models to hydrodynamics : some novel results, Matteo Colangeli
Resource Information
The item From kinetic models to hydrodynamics : some novel results, Matteo Colangeli represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item From kinetic models to hydrodynamics : some novel results, Matteo Colangeli represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- From Kinetic Models to Hydrodynamics serves as an introduction to the asymptotic methods necessary to obtain hydrodynamic equations from a fundamental description using kinetic theory models and the Boltzmann equation. The work is a survey of an active research area, which aims to bridge time and length scales from the particle-like description inherent in Boltzmann equation theory to a fully established "continuum" approach typical of macroscopic laws of physics. The author sheds light on a new method -- using invariant manifolds -- which addresses a functional equation for the nonequilibrium single-particle distribution function. This method allows one to find exact and thermodynamically consistent expressions for: hydrodynamic modes; transport coefficient expressions for hydrodynamic modes; and transport coefficients of a fluid beyond the traditional hydrodynamic limit. The invariant manifold method paves the way to establish a needed bridge between Boltzmann equation theory and a particle-based theory of hydrodynamics. Finally, the author explores the ambitious and longstanding task of obtaining hydrodynamic constitutive equations from their kinetic counterparts. The work is intended for specialists in kinetic theory -- or more generally statistical mechanics -- and will provide a bridge between a physical and mathematical approach to solve real-world problems
- Language
- eng
- Extent
- 1 online resource (xii, 96 pages)
- Contents
-
- Introduction
- From the Phase Space to the Boltzmann Equation
- Methods of Reduced Description
- Hydrodynamic Spectrum of Simple Fluids
- Hydrodynamic Fluctuations from the Boltzmann Equation
- Grad's 13-Moments System
- Conclusions
- Isbn
- 9781461463054
- Label
- From kinetic models to hydrodynamics : some novel results
- Title
- From kinetic models to hydrodynamics
- Title remainder
- some novel results
- Statement of responsibility
- Matteo Colangeli
- Subject
-
- Dynamics
- Dynamics
- Hydrodynamics -- Mathematical models
- Hydrodynamics -- Mathematical models
- Hydrodynamics -- Mathematical models
- Mathematical Applications in the Physical Sciences.
- Mathematical Methods in Physics.
- Mathematical Modeling and Industrial Mathematics.
- Mathematical physics.
- Mathematics.
- SCIENCE -- Mechanics | Hydrodynamics
- Statistical Physics, Dynamical Systems and Complexity.
- Theoretical, Mathematical and Computational Physics.
- Dynamics
- Language
- eng
- Summary
- From Kinetic Models to Hydrodynamics serves as an introduction to the asymptotic methods necessary to obtain hydrodynamic equations from a fundamental description using kinetic theory models and the Boltzmann equation. The work is a survey of an active research area, which aims to bridge time and length scales from the particle-like description inherent in Boltzmann equation theory to a fully established "continuum" approach typical of macroscopic laws of physics. The author sheds light on a new method -- using invariant manifolds -- which addresses a functional equation for the nonequilibrium single-particle distribution function. This method allows one to find exact and thermodynamically consistent expressions for: hydrodynamic modes; transport coefficient expressions for hydrodynamic modes; and transport coefficients of a fluid beyond the traditional hydrodynamic limit. The invariant manifold method paves the way to establish a needed bridge between Boltzmann equation theory and a particle-based theory of hydrodynamics. Finally, the author explores the ambitious and longstanding task of obtaining hydrodynamic constitutive equations from their kinetic counterparts. The work is intended for specialists in kinetic theory -- or more generally statistical mechanics -- and will provide a bridge between a physical and mathematical approach to solve real-world problems
- Cataloging source
- GW5XE
- http://library.link/vocab/creatorName
- Colangeli, Matteo
- Dewey number
- 532/.50015118
- Illustrations
- illustrations
- Index
- no index present
- Language note
- English
- LC call number
- QA911
- LC item number
- .C65 2013
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- Series statement
- SpringerBriefs in mathematics,
- http://library.link/vocab/subjectName
-
- Hydrodynamics
- Dynamics
- SCIENCE
- Dynamics
- Hydrodynamics
- Label
- From kinetic models to hydrodynamics : some novel results, Matteo Colangeli
- Antecedent source
- unknown
- Bibliography note
- Includes bibliographical references
- 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
- From the Phase Space to the Boltzmann Equation
- Methods of Reduced Description
- Hydrodynamic Spectrum of Simple Fluids
- Hydrodynamic Fluctuations from the Boltzmann Equation
- Grad's 13-Moments System
- Conclusions
- Control code
- 836776098
- Dimensions
- unknown
- Extent
- 1 online resource (xii, 96 pages)
- File format
- unknown
- Form of item
- online
- Isbn
- 9781461463054
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-1-4614-6306-1
- Other physical details
- illustrations
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)836776098
- Label
- From kinetic models to hydrodynamics : some novel results, Matteo Colangeli
- Antecedent source
- unknown
- Bibliography note
- Includes bibliographical references
- 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
- From the Phase Space to the Boltzmann Equation
- Methods of Reduced Description
- Hydrodynamic Spectrum of Simple Fluids
- Hydrodynamic Fluctuations from the Boltzmann Equation
- Grad's 13-Moments System
- Conclusions
- Control code
- 836776098
- Dimensions
- unknown
- Extent
- 1 online resource (xii, 96 pages)
- File format
- unknown
- Form of item
- online
- Isbn
- 9781461463054
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-1-4614-6306-1
- Other physical details
- illustrations
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)836776098
Subject
- Dynamics
- Dynamics
- Hydrodynamics -- Mathematical models
- Hydrodynamics -- Mathematical models
- Hydrodynamics -- Mathematical models
- Mathematical Applications in the Physical Sciences.
- Mathematical Methods in Physics.
- Mathematical Modeling and Industrial Mathematics.
- Mathematical physics.
- Mathematics.
- SCIENCE -- Mechanics | Hydrodynamics
- Statistical Physics, Dynamical Systems and Complexity.
- Theoretical, Mathematical and Computational Physics.
- Dynamics
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/From-kinetic-models-to-hydrodynamics--some-novel/r6Vcad3HVWo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/From-kinetic-models-to-hydrodynamics--some-novel/r6Vcad3HVWo/">From kinetic models to hydrodynamics : some novel results, Matteo Colangeli</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
