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math.AP2026
The Diffusive Exchange Driven Growth Model with unbounded kernels
Saumyajit Das, Ram Gopal Jaiswal
We study the discrete diffusive exchange-driven growth (EDG) equations on a bounded smooth domain of arbitrary dimension subject to homogeneous Neumann boundary conditions. The sys…
math.AP2026
Existence for the Discrete Nonlinear Fragmentation Equation with Degenerate Diffusion
Saumyajit Das, Ram Gopal Jaiswal
A mathematical model for the discrete nonlinear fragmentation (collision-induced breakage) equation with diffusion is studied. The existence of global weak solutions is established…
math.AP2026
Homogenization of Three Species Reaction Diffusion Equation in Perforated Domains
Saumyajit Das, Kshitij Sinha
In this article we study the asymptotic behaviour of the solution of the three species chemical reaction-diffusion model with non-homogeneous Neumann boundary condition in a perfor…