Weak solutions to the discrete Redner-Ben-Avraham-Kahng coagulation model

Abstract

This study examines the global existence of solutions to the discrete Redner-Ben-Avraham-Kahng coagulation equations for a wide range of coagulation kernels $\theta_{i,j}$ defined as $\theta_{i,j} =\omega_i \omega_j +\kappa_{i,j}$ and $\kappa_{i,j} \le A \omega_i \omega_j, \ \ i,j \ge 1$ when $(\omega_i)_{i\ge 1}$ grows linearly or super-linearly with respect to $i$