13 papers
Existence and uniqueness of weak solutions to the Smoluchowski coagulation equation with source and sedimentation
Prasanta Kumar Barik, Asha K. Dond, Rakesh Kumar
This article is devoted to a generalized version of Smoluchowski's coagulation equation. This model describes the time evolution of a system of aggregating particles under the effe…
Numerical analysis for coagulation-fragmentation equations with singular rates
Sanjiv Kumar Bariwal, Prasanta Kumar Barik, Ankik Kumar Giri +1
This article deals with the convergence of finite volume scheme (FVS) for solving coagulation and multiple fragmentation equations having locally bounded coagulation kernel but sin…
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…
Gelation in coagulation and multiple fragmentation equation with a class of singular rates
Prasanta Kumar Barik
In this paper, a partial integro-differential equation modeling of coagulation and multiple fragmentation events is studied. Our purpose is to investigate the global existence of g…
Mass-conserving weak solutions to the coagulation and collisional breakage equation with singular rates
Prasanta Kumar Barik, Ankik Kumar Giri, Rajesh Kumar
In this article, the existence of mass-conserving solutions is investigated to the continuous coagulation and collisional breakage equation with singular coagulation kernels. Here,…
Existence of mass-conserving weak solutions to the singular coagulation equation with multiple fragmentation
Prasanta Kumar Barik
In this paper we study the continuous coagulation and multiple fragmentation equation for the mean-field description of a system of particles taking into account the combined effec…