Abstract
Prior knowledge regarding the existence and uniqueness of nonnegative, mass-conserving solutions to a multiple-fragmentation equation is utilized to study a combined coagulation and fragmentation model. The coagulation and fragmentation equation is first recast as an abstract integral equation involving the solution operator associated with the fragmentation part. A contraction mapping argument is then used to prove the existence and uniqueness of a local solution. Detailed investigation of the related iteration scheme yields nonnegativity and mass conservation. The solution is shown to be global.
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