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math.AP2020
Existence and non-existence for the collision-induced breakage equation
Ankik Kumar Giri, Philippe Laurençot
A mathematical model for collision-induced breakage is considered. Existence of weak solutions to the continuous nonlinear collision-induced breakage equation is shown for a large…
math.AP2020
Weak Solutions to the Collision-Induced Breakage Equation with Dominating Coagulation
Ankik Kumar Giri, Philippe Laurençot
Existence and uniqueness of weak solutions to the collision-induced breakage and coag-ulation equation are shown when coagulation is the dominant mechanism for small volumes. The c…
math.AP2020
Mass-conserving weak solutions to Oort-Hulst-Safronov coagulation equation with singular rates
Prasanta Kumar Barik, Pooja Rai, Ankik Kumar Giri
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 gr…