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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…
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…
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…
Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations
Ram Gopal Jaiswal, Ankik Kumar Giri
Existence of mass-conserving self-similar solutions to collision-induced breakage equation is shown for a specific class of homogeneous collision kernels and breakage functions. Th…
The continuous collision-induced nonlinear fragmentation equation with non-integrable fragment daughter distributions
Ankik Kumar Giri, Ram Gopal Jaiswal, Philippe Laurençot
Existence, non-existence, and uniqueness of mass-conserving weak solutions to the continuous collision-induced nonlinear fragmentation equations are established for the collision k…