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

2022/06/04 by Pooja Rai, Rai, Pooja, Ankik Kumar Giri +3
Mathematics · #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2206.02035

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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