Recently big advances were made in the field of pebble abrasion. Nice examples include prediction of Martian rivers and the explanation of the shape of the asteroid oumuamua. The theory is based on the Bloore equations in which there are parameters which account for collision with small or large particles. In many cases, however, the particles collide with each-other (beach landslide, etc.) and the terms are set in a self organized way.  The task would be to study these serf organized processes. We investigate collective abrasion of pebbles, namely a sample of N particles is abraded by some natural process. The so-called kernel equations determine the mutual abrasion of two particles randomly selected from the sample according to a given distribution, The goal of the project is to study analytically and in a numerical way the interplay between the particle size distribution  and the kernel functions. How they effect the time evolution of the mass distribution of the sample?