Basic Properties

Carlo Cercignani
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Carlo Cercignani: Politecnico di Milano

Chapter Chapter II in Mathematical Methods in Kinetic Theory, 1990, pp 40-66 from Springer

Abstract: Abstract In this chapter we shall study the basic properties of the Boltzmann equation. It is clear from Eq. (7.22) of Chapter I that the left-hand side and the right-hand side are completely different in nature, from both a mathematical and a physical standpoint. The left-hand side contains a linear differential operator which acts on the space- and time-dependence of f; if we equate this side to zero, we obtain an equation for the time evolution in absence of collisions, and the differential operator is accordingly called the “free-streaming operator.”

Keywords: Boltzmann Equation; Specular Reflection; Maxwellian Distribution; Mass Velocity; Collision Operator (search for similar items in EconPapers)
Date: 1990
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DOI: 10.1007/978-1-4899-7291-0_2

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