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The Resource Lecture notes on the mathematical theory of generalized Boltzmann models, Nicola Bellomo, Mauro Lo Schiavo

Lecture notes on the mathematical theory of generalized Boltzmann models, Nicola Bellomo, Mauro Lo Schiavo

Label
Lecture notes on the mathematical theory of generalized Boltzmann models
Title
Lecture notes on the mathematical theory of generalized Boltzmann models
Statement of responsibility
Nicola Bellomo, Mauro Lo Schiavo
Title variation
Mathematical theory of generalized Boltzmann models
Creator
Contributor
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Bellomo, N
Dewey number
530.13/6
Index
index present
LC call number
QC175.16.B6
LC item number
B45 2000
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Schiavo, Mauro Lo
Series statement
Series on advances in mathematics for applied sciences
Series volume
vol. 51
http://library.link/vocab/subjectName
  • Maxwell-Boltzmann distribution law
  • Kinetic theory of matter
Label
Lecture notes on the mathematical theory of generalized Boltzmann models, Nicola Bellomo, Mauro Lo Schiavo
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. 1. Generalized Kinetic Models -- Ch. 2. Mathematical Background: Measure, Integration, Topology -- Tools from Measure Theory -- Tools from Integration Theory -- Tools from Topology -- Ch. 3. Models of Population Dynamics with Stochastic Interactions -- The Generalized Jager and Segel Model -- On the Initial Value Problem -- Stationary Points -- Applications and Perspectives -- Ch. 4. Generalized Kinetic Models for Coagulation and Fragmentation -- Description of the Models -- Mathematical Problems -- Critical Analysis and Perspectives -- Ch. 5. Kinetic Cellular Models in the Immune System Competition -- Kinetic Models Towards Immunology -- Scaling in Kinetic Cellular Models -- Phenomenological System and Modelling -- Kinetic Evolution Equations -- Qualitative Analysis, Applications, and Perspectives -- Ch. 6. Kinetic Models for the Evolution of Antigens Generalized Shape -- An Introduction to the Generalized Shape -- The Mathematical Model -- On the Initial Value Problem -- Applications and Developments -- Ch. 7. The Boltzmann Model -- The Nonlinear Boltzmann Equation -- Mathematical Problems -- Analytic Treatment -- Computational Methods -- Ch. 8. Generalized Kinetic Models for Traffic Flow -- Traffic Flow and Hydrodynamics -- Kinetic Traffic Flow Models -- Perspectives -- Ch. 9. Dissipative Kinetic Models for Disparate Mixtures -- Dissipative Collision Dynamics -- Kinetic Equations for Mixtures of Clusters -- Mixtures with Continuous Mass Distribution -- Mathematical Problems -- Perspectives in Modelling -- Ch. 10. Research Perspectives -- Discrete Generalized Models -- Looking for a General Structure -- Development of New Models
Control code
42080129
Dimensions
23 cm
Extent
xiii, 334 pages
Isbn
9789810240783
Isbn Type
(alk. paper)
Lccn
99040190
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Label
Lecture notes on the mathematical theory of generalized Boltzmann models, Nicola Bellomo, Mauro Lo Schiavo
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. 1. Generalized Kinetic Models -- Ch. 2. Mathematical Background: Measure, Integration, Topology -- Tools from Measure Theory -- Tools from Integration Theory -- Tools from Topology -- Ch. 3. Models of Population Dynamics with Stochastic Interactions -- The Generalized Jager and Segel Model -- On the Initial Value Problem -- Stationary Points -- Applications and Perspectives -- Ch. 4. Generalized Kinetic Models for Coagulation and Fragmentation -- Description of the Models -- Mathematical Problems -- Critical Analysis and Perspectives -- Ch. 5. Kinetic Cellular Models in the Immune System Competition -- Kinetic Models Towards Immunology -- Scaling in Kinetic Cellular Models -- Phenomenological System and Modelling -- Kinetic Evolution Equations -- Qualitative Analysis, Applications, and Perspectives -- Ch. 6. Kinetic Models for the Evolution of Antigens Generalized Shape -- An Introduction to the Generalized Shape -- The Mathematical Model -- On the Initial Value Problem -- Applications and Developments -- Ch. 7. The Boltzmann Model -- The Nonlinear Boltzmann Equation -- Mathematical Problems -- Analytic Treatment -- Computational Methods -- Ch. 8. Generalized Kinetic Models for Traffic Flow -- Traffic Flow and Hydrodynamics -- Kinetic Traffic Flow Models -- Perspectives -- Ch. 9. Dissipative Kinetic Models for Disparate Mixtures -- Dissipative Collision Dynamics -- Kinetic Equations for Mixtures of Clusters -- Mixtures with Continuous Mass Distribution -- Mathematical Problems -- Perspectives in Modelling -- Ch. 10. Research Perspectives -- Discrete Generalized Models -- Looking for a General Structure -- Development of New Models
Control code
42080129
Dimensions
23 cm
Extent
xiii, 334 pages
Isbn
9789810240783
Isbn Type
(alk. paper)
Lccn
99040190
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n

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