The coagulation kernel homogeneity is used to predict gelation and self-preservation for various mechanisms of turbulence-induced coagulation and verified by detailed sectional simulations. Self-preserving distributions are attained in the inertial regime (particle diameter, d_p, much larger than the Kolmogorov microscale of turbulence, η) while coagulation by accelerative mechanisms like fluid fluctuation or gravity in the viscous regime (d_p << η) leads to gelation. Shear-induced coagulation in the viscous regime (that is commonly used in aerosol dynamic simulations) leads to gelation also.