Instantaneous gelation and non-existence of weak solutions for the Oort–Hulst–Safronov coagulation model

Instantaneous gelation and non-existence of weak solutions for the Oort–Hulst–Safronov coagulation model

The possible occurrence of instantaneous gelation to the 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 non-existence of mass-conserving weak solutions. Finally,...

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Veröffentlicht in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2023-02, Vol.479 (2270)
Hauptverfasser: Rai, Pooja, Kumar Giri, Ankik, John, Volker
Format: Artikel
Sprache:eng
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Zusammenfassung:The possible occurrence of instantaneous gelation to the 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 non-existence 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.
ISSN:1364-5021
1471-2946
DOI:10.1098/rspa.2022.0385