19 citations · 27 across the 34 of their papers we have counts for
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Well-posedness and large time behavior of a size-structured growth-coagulation-fragmentation model
Saroj Si, Ankik Kumar Giri
The existence and uniqueness of weak solutions to a size-structured growth-coagulation-fragmentation (GCF) equation with a renewal boundary condition are shown for a class of unbou…
Existence and Non-existence for Exchange-Driven Growth Model
Saroj Si, Ankik Kumar Giri
The exchange-driven growth (EDG) model describes the evolution of clusters through the exchange of single monomers between pairs of interacting clusters. The dynamics of this proce…
Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer
Ram Gopal Jaiswal, Ankik Kumar Giri
A mathematical model for the continuous nonlinear fragmentation equation is considered in the presence of mass transfer. In this paper, we demonstrate the existence of mass-conserv…
Well-posedness of the growth-coagulation equation with singular kernels
Ankik Kumar Giri, Philippe Laurençot, Saroj Si
The well-posedness of the growth-coagulation equation is established for coagulation kernels having singularity near the origin and growing atmost linearly at infinity. The existen…
Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations
Ram Gopal Jaiswal, Ankik Kumar Giri
Existence of mass-conserving self-similar solutions to collision-induced breakage equation is shown for a specific class of homogeneous collision kernels and breakage functions. Th…
The continuous collision-induced nonlinear fragmentation equation with non-integrable fragment daughter distributions
Ankik Kumar Giri, Ram Gopal Jaiswal, Philippe Laurençot
Existence, non-existence, and uniqueness of mass-conserving weak solutions to the continuous collision-induced nonlinear fragmentation equations are established for the collision k…