Coagulation equations for aerosol dynamics

摘要: Binary coagulation is an important process in aerosol dynamics by which two particles merge to form a larger one. The distribution of particle sizes over time may be described the so-called Smoluchowski's equation. This integrodifferential equation exhibits complex non-local behaviour that strongly depends on rate considered. We first discuss well-posedness results for large class kernels as well existence and nonexistence stationary solutions presence source small particles. result uses Schauder fixed point theorem, relies flux formulation problem power law estimates decay with constant flux. then consider more general setting. constituted different chemicals, leads multi-component equations describing compositions. obtain explicit simplest case where kernel using generating function. Using approximation solution we observe mass localizes along straight line size space times sizes.