3 papers
math.CA2026
Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation
Mashkoor Ali
Motivated by the recent deterministic approach of Fournier~\cite{F2025} to gelation for the continuous Smoluchowski coagulation equation, we adapt his method to the discrete Oort--…
math.AP2026
On a Class of Continuous Collision-Induced Breakage Equation
Mashkoor Ali
In this work, we establish the existence of mass-conserving weak solutions to a nonlinear collision-induced breakage equation in which binary collisions may trigger particle breaku…
math.CA2025
Global Solutions to the Discrete Nonlinear Breakage Equations without Mass Transfer
Mashkoor Ali, Philippe Laurençot
Global existence of mild solutions to the discrete collisional breakage equations is established for a broad class of collision kernels, without imposing any growth assumptions. In…