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Model Equations

In: Mathematical Methods in Kinetic Theory

Author

Listed:
  • Carlo Cercignani

    (Politecnico di Milano)

Abstract

One of the major shortcomings in dealing with the Boltzmann equation is the complicated nature of the collision integral, in both the full nonlinear version, Eq. (1.1) of Chapter II, and the linearized form, Eq. (2.2) of Chapter III. It is therefore not surprising that alternative, simpler expressions have been proposed for the collision term; they are known as collision models, and any Boltzmann-like equation where the Boltzmann collision integral is replaced by a collision model is called a model equation or a kinetic model.

Suggested Citation

  • Carlo Cercignani, 1990. "Model Equations," Springer Books, in: Mathematical Methods in Kinetic Theory, edition 0, chapter 0, pages 89-103, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-7291-0_4
    DOI: 10.1007/978-1-4899-7291-0_4
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