The asymptotic behavior and self-similar solutions for disperse systems with coagulation and fragmentation.

The paper analyzes the asymptotic behavior of disperse systems with coagulation and fragmentation of particles. The possible types of self-similarity regimes have been analyzed and conditions required for their existence have been set. The generalized approximation method (GA-method) numerical simulation is used to determine the actual behavior of moments Lα (t ). The examples of GA-method application show its suitability for use in research problems. In general, the obtained results showthat binary breakage coagulation is a wide and non-trivial scope for investigation. A number of regimes are represented such as steady state, coagulation winning, gelation, collapsing selfsimilarity and spectrum singularity. The existence of collapsing (accumulating in zero) self-similar spectra is illustrated in terms of a particular example of the coagulation kernel K(g, n) = gn and breakage rate f (g, n) = a. [ABSTRACT FROM AUTHOR]