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Instantaneous gelation and nonexistence for the Oort-Hulst-Safronov coagulation model

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arxiv 2206.02035 v1 pith:EINTPS6D submitted 2022-06-04 math.AP

Instantaneous gelation and nonexistence for the Oort-Hulst-Safronov coagulation model

Pooja Rai , Ankik Kumar Giri , Volker John This is my paper
classification math.AP
keywords coagulationgelationinstantaneousequationkernelsnonexistenceoort-hulst-safronovweak
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The possible occurrence of instantaneous gelation to Oort-Hulst-Safronov (OHS) coagulation equation is investigated for a certain class of unbounded coagulation kernels. The existence of instantaneous gelation is confirmed by showing the nonexistence of mass-conserving weak solutions. Finally, it is shown that for such kernels, there is no weak solution to the OHS coagulation equation at any time interval.

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