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On Classical solution to the Discrete Coagulation Equations with Collisional Breakage

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arxiv 2208.07052 v1 pith:ME34J6SP submitted 2022-08-15 math.AP math.CA

On Classical solution to the Discrete Coagulation Equations with Collisional Breakage

classification math.AP math.CA
keywords collisionalbreakageclassicalcoagulationdiscreteequationskernelsolutions
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In this article, the existence of global classical solutions to the discrete coagulation equations with collisional breakage is established for collisional kernel having linear growth whereas the uniqueness is shown under additional restrictions on collisional kernel. Moreover, mass conservation property and propagation of moments of solutions are also discussed.

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