On Global Asymptotic Stability for the Diffusive Carr–Penrose Model

This paper is concerned with large time behavior of the solution to a diffusive perturbation linear LSW model introduced by Carr and Penrose. Like model, Carr–Penrose has family rapidly decreasing self-similar solutions, depending on parameter $$\beta $$ $$0<\beta \le 1$$ . It shown that if initial data have compact support, then at approximates =1$$ solution. result supports intuition diffusion provides mechanism whereby only physically relevant one.