Verma, PratibhaGiri, Ankik KumarCosta, Fernando Pestana da2023-03-312023-03-312023-03Pratibha Verma, Ankik Kumar Giri, F. P. da Costa. The continuous Redner-Ben-Avraham-Kahng coagulation system: Well-posedness and asymptotic behaviour. Evolution Equations and Control Theory. doi: 10.3934/eect.2023010http://hdl.handle.net/10400.2/13549This paper examines the existence of solutions to the continuous Redner-Ben-Avraham-Kahng coagulation system under specific growth conditions on unbounded coagulation kernels at infinity. Moreover, questions related to uniqueness and continuous dependence on the data are also addressed under additional restrictions. Finally, the large-time behaviour of solutions is also investigated.engCoagulation equationsRedner–Ben-Avraham–Kahng coagulation systemExistence and uniqueness of solutionsLong-time behaviour of solutionsThe continuous Redner–Ben-Avraham–Kahng coagulation system: well-posedness and asymptotic behaviourjournal article10.3934/eect.20230102163-2480