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Nonlinear Kinetic Models with Chemical Reactions

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Modeling in Applied Sciences

Abstract

This chapter reports on the progress in mathematical kinetic theory, based on the Boltzmann ideas applied to modeling a gas of particles with inelastic collisions and chemical reactions. Research perspectives and open problems are explored. Compared to the classical Boltzmann equation for a simple gas, kinetic models with chemical reactions exhibit new mathematical difficulties due the contribution of the particle internal states to the gas evolution and the existence of reaction channels with several reaction participants. The contents of this chapter show how methods introduced in the study of the Boltzmann equation for a simple gas can be non-trivially extended to investigate kinetic equations with chemical reactions.

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Author information

Authors and Affiliations

  1. Institute of Space Sciences, INFLPR, PO BOX MG-36, RO-76900, Bucharest-Magurele, Romania

    Cecil P. Grünfeld

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  1. Cecil P. Grünfeld
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Editors and Affiliations

  1. Department of Mathematics, Politecnico di Torino, Corso Duca degli Abruzzi 29, 10129, Torino, Italy

    Nicola Bellomo

  2. Department of Mathematics, Università di Roma—La Sapienza, Città Universitaria—Piazzale, Aldo Moro 2, 00100, Roma, Italy

    Mario Pulvirenti

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Grünfeld, C.P. (2000). Nonlinear Kinetic Models with Chemical Reactions. 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_6

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  • DOI: https://doi.org/10.1007/978-1-4612-0513-5_6

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6797-3

  • Online ISBN: 978-1-4612-0513-5

  • eBook Packages: Springer Book Archive

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