By Heinz J. Nowarra
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We note that it is a nonlinear, integral, partial differential, functional equation, where the specification "functional" refers to the fact that the unknown function P appears in the integral term not only with the arguments; (the current velocity variable) and ; 1 (the integration variable) but also with the arguments ;'and ;'1 • The latter are related to; and ; 1 implicitly by the condition of being transformed into ; and ; 1 by Basic Principles 30 [Ch. I effect of a collision, and explicitly by relations which will be investigated in the next section.
105, 189 (1986); 14. R. Illner and M. Pulvirenti, Commun. Math. Phys. 121, 143 (1989); 15. C. Cercignani, The Boltzmann Equation and Its Applications, Springer, New York (1988). Section 7--The content of this section is classical, except for the detailed discussion of the finiteness of u, which appears to be new (see, however, ref. 7, p. 67). The standard treatment can be found in refs. 6-9. Maxwell molecules were introduced in 16. J. C. Maxwell, Phil. Trans. R. Soc. 157 (1866); reprinted in: The Scientific Papers of J.
The distance of closest approach of the two particles had they continued their motion without interacting. It is clear (see Fig. 1) that this r is the same r used as polar coordinate in the diameter plane of the "protection sphere," since the latter r was defined as 34 Basic Principles [Ch. I the distance between one mass point and the relative trajectory which the second mass point follows in absence of interaction. 18) can also be written directly, since they express the conservation of energy and angular momentum in the reference system of one particle (with the reduced mass m/2 in place of the mass m of the second particle).
Blohm & Voss Bv 138 by Heinz J. Nowarra