Mass-conserving weak solutions to Oort-Hulst-Safronov coagulation equation with singular rates

Prasanta Kumar Barik,Pooja Rai,Ankik Kumar Giri

doi:10.1016/j.jde.2022.04.015

Mass-conserving weak solutions to Oort-Hulst-Safronov coagulation equation with singular rates

Prasanta Kumar Barik, Pooja Rai + Show 1 more

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https://doi.org/10.1016/j.jde.2022.04.015

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Journal: Journal of Differential Equations	Publication Date: Apr 22, 2022
Citations: 3

Affiliation: Indian Institute of Science Education and Research, Thiruvananthapuram, Tata Institute of Fundamental Research, Indian Institute of Technology Roorkee

#Coagulation Equation #Existence Of Global Weak Solutions + Show 8 more

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Abstract

Existence of global weak solutions to the continuous Oort-Hulst-Safronov (OHS) coagulation equation is investigated for coagulation kernels capturing a singularity near zero and growing linearly at infinity. The proof mainly relies on a relation, between classical Smoluchowski coagulation equation (SCE) and OHS coagulation equation, which is introduced in [16] as generalized coagulation equation. Moreover, all weak solutions formulated in a suitable sense are demonstrated to be mass-conserving. We obtain here a similar result for OHS coagulation equation as the one in [6] for SCE.

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