English

Convergence of the discrete Redner-Ben-Avraham-Kahng coagulation equation

Functional Analysis 2024-01-05 v2

Abstract

This article looks at the relationship between the discrete and the continuous Redner-Ben-Avraham-Kahng (RBK) coagulation models. On the basis of a priori estimation, a weak stability principle and the weak compactness in L1L_1 for the continuous RBK model is shown. By employing a sequence of discrete models to approximate the continuous one, we show that how discrete model eventually converges to the the modified continuous one using the stability principle.

Keywords

Cite

@article{arxiv.2307.13245,
  title  = {Convergence of the discrete Redner-Ben-Avraham-Kahng coagulation equation},
  author = {Pratibha Verma},
  journal= {arXiv preprint arXiv:2307.13245},
  year   = {2024}
}