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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. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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