3 papers
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
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…
math.AP2024
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…