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Advisor(s)
Abstract(s)
This 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.
Description
Keywords
Coagulation equations Redner–Ben-Avraham–Kahng coagulation system Existence and uniqueness of solutions Long-time behaviour of solutions
Pedagogical Context
Citation
Pratibha 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.2023010
Publisher
American Institute of Mathematical Sciences