5 papers · 1 filter
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…
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…
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…
Boundary Control and Calderón type Inverse Problems in Non-local heat equation
Saumyajit Das
We examine various density results related to the solutions of the non-local heat equation at a specific time slice, focusing on two distinct models: one with homogeneous Dirichlet…
Convergence to equilibrium for a degenerate triangular reaction-diffusion system
Saumyajit Das, Harsha Hutridurga
In this article we study a reaction diffusion system with unknown concentration. The non-linearity in our study comes from an underlying reversible chemical reaction and triang…