3 papers
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.AP2025
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…