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The continuous version of the generalized exchange-driven growth model
Prasanta K. Barik, Fernando P. da Costa, João T. Pinto +1
In this article, we discuss the continuous version of the generalized exchange-driven growth model which is a variant of the coagulation model in which a smaller size particle is d…
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…
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…
Global classical solutions to the continuous coagulation equation with collisional breakage
Prasanta Kumar Barik, Ankik Kumar Giri
Existence and uniqueness of mass-conserving classical solutions to the continuous coagulation equation with collisional breakage are investigated for an unbounded class of collisio…
Existence and uniqueness of weak solutions to the singular kernels coagulation equation with collisional breakage
Prasanta Kumar Barik, Ankik Kumar Giri
In this article, we investigate the existence and uniqueness of weak solutions to the continuous coagulation equation with collisional breakage for a class of unbounded collision k…
Weak solutions to the continuous coagulation model with collisional breakage
Prasanta Kumar Barik, Ankik Kumar Giri
A global existence theorem on weak solutions is shown for the continuous coagulation equation with collisional breakage under certain classes of unbounded collision kernels and dis…
Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel
Prasanta Kumar Barik, Ankik Kumar Giri, Philippe Laurençot
Global weak solutions to the continuous Smoluchowski coagulation equation (SCE) are constructed for coagulation kernels featuring an algebraic singularity for small volumes and gro…
A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation
Prasanta Kumar Barik, Ankik Kumar Giri
In general, the non-conservative approximation of coagulation-fragmentation equations (CFEs) may lead to the occurrence of gelation phenomenon. In this article, it is shown that th…
The continuous coagulation and nonlinear multiple fragmentation equation
Prasanta Kumar Barik, Ankik Kumar Giri
The present paper deals with the existence and uniqueness of global classical solutions to the continuous coagulation and nonlinear multiple fragmentation equations for large class…
Well-posedness to the continuous coagulation processes with collision-induced multiple fragmentation
Prasanta Kumar Barik, Ankik Kumar Giri
An existence result on weak solutions to the continuous coagulation equation with collision-induced multiple fragmentation is established for certain classes of unbounded coagulati…