Abstract
This chapter provides an introduction to the methods of the kinetic theory and to the scopes and contents of the present book, which deals with the development and application of Boltzmann type models in applied sciences. It is organized into three parts. First we deal with a description of the Boltzmann and mean-field models. Then, we discuss the common features of generalized kinetic models with reference to the original ones. The third part consists in a description of the contents of the chapters which follow this introductory one.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Araki S., The dynamics of dense particle disks — Effects of Spin degrees of freedom, Icarus, 65 (1988) 182–198.
Adam J. and Bellomo N. eds., A Survey of Models For Tumor Immune System Dynamics, Birkhäuser (1996).
Bellomo N. ed., Lecture Notes on the Mathematical Theory of the Boltzmann Equation, World Scientific (1995).
Cercignani C., Illner R., and Pulvirenti M., Theory and Application of the Boltzmann Equation, Springer (1993).
Glassey R., The Cauchy Problem in Kinetic Theory, SIAM Publ. (1996).
Grad H., Asymptotic theory of the Boltzmann equation II, in Rarefied Gas Dynamics, Laurmann J.A. ed., Academic Press, Vol. 1 (1963), 26–59.
Maslova N., Nonlinear Evolution Equations, World Scientific (1993).
Paveri Fontana S., On Boltzmann like treatments for traffic flows, Transp. Res., 9 (1975), 225–235.
Prigogine I. and Herman R., Kinetic Theory of Vehicular Traffic, Elsevier (1971).
Truesdell C. and Muncaster R., Fundamentals of Maxwell’s Kinetic Theory of a Simple Monoatomic Gas, Academic Press (1980).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media New York
About this chapter
Cite this chapter
Bellomo, N., Pulvirenti, M. (2000). Generalized Kinetic Models in Applied Sciences. In: Bellomo, N., Pulvirenti, M. (eds) Modeling in Applied Sciences. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0513-5_1
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0513-5_1
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6797-3
Online ISBN: 978-1-4612-0513-5
eBook Packages: Springer Book Archive