4 papers · 1 filter
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--…
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…
The discrete collision-induced breakage equation with mass transfer: well-posedness and stationary solutions
Mashkoor Ali, Ankik Kumar Giri, Philippe Laurençot
The discrete collisional breakage equation, which captures the dynamics of cluster growth when clusters encounter binary collisions with possible matter transfer, is discussed in t…
Well-posedness to the discrete collision-induced breakage equation and various properties of solutions
Mashkoor Ali, Ankik Kumar Giri, Philippe Laurencot
A discrete version of the nonlinear collision-induced breakage equation is studied. Existence of solutions is investigated for a broad class of unbounded collision kernels and daug…