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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…