System of sticking diffusion particles of variable mass
We construct a mathematical model of an infinite system of diffusion particles with interaction whose masses affect the diffusion coefficient. The particles begin to move from a certain stationary distribution of masses. Their motion is independent up to their meeting. Then the particles become stuck and their masses are added. As a result, the diffusion coefficient varies as a function inversely proportional to the square root of the mass. It is shown that the mass transported by particles is also characterized by a stationary distribution.
English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 1, pp 97-113.
Citation Example: Konarovskyi V. V. System of sticking diffusion particles of variable mass // Ukr. Mat. Zh. - 2010. - 62, № 1. - pp. 90 - 103.