Excerpt from Solution of a Non-Linear Integral Equation Appearing in the Theory of an Aerosol: A Memorandum Submitted by the Applied Mathematics Group, New York University to the Applied Mathematics Panel, National Defense Research Committee
An aerosol is a suspension of liquid particles in air, such as vapor or smoke. By mutual collisions, particles will coagulate; by gravity, particles will settle on the ground and disappear from the aerosol. The problem is to determine the number n(r,t) of particles of radius R at any time T, provided that the probability of collision and that of settling are known and that the number N of particles of radius R at the time T O is given as a function of R.
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