Global existence and uniqueness of solutions are proven for a hybrid discrete-continuous coagulation and fragmentation model using strongly continuous semigroups theory.
Authors
Mashkoor Ali, Assistant Professor, Jindal Global Business School, O.P. Jindal Global University, Haryana, Sonipat, 131001, India
Prasanta Kumar Barik, Department of General Sciences, BITS Pilani Dubai Campus, International Academic City, Dubai, 345055, United Arab Emirates; Instituto de Matemáticas, Universidad de Granada, Rector López Argüt, S/N, Granada, 18001, Spain
Ankik Kumar Giri, Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand, Roorkee, 247667, India
Summary
In this article, we investigate a hybrid discrete–continuous coagulation and fragmentation model employing the strongly continuous semigroups theory on operators. Under the appropriate assumptions on the coagulation and fragmentation kernels, we establish the global existence and uniqueness of solutions. This extends similar results obtained in earlier investigations for the pure hybrid discrete–continuous fragmentation model.
Published in: Zeitschrift fur Angewandte Mathematik und Physik
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