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Instantaneous gelation and nonexistence for the Oort-Hulst-Safronov coagulation model (2206.02035v1)
Published 4 Jun 2022 in math.AP
Abstract: 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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