8 papers
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--…
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…
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…
On Classical solution to the Discrete Coagulation Equations with Collisional Breakage
Mashkoor Ali, Ankik Kumar Giri
In this article, the existence of global classical solutions to the discrete coagulation equations with collisional breakage is established for collisional kernel having linear gro…
Global existence to the discrete Safronov-Dubovskiǐ coagulation equations and failure of mass-conservation
Mashkoor Ali, Ankik Kumar Giri
This paper presents the existence of global solutions to the discrete Safronov-Dubvoskiǐ coagulation equations for a large class of coagulation kernels satisfying $Λ_{i,j} = θ_i θ_…
On the discrete Safronov-Dubovskii coagulation equation: well-posedness, mass-conservation and asymptotic behaviour
Mashkoor Ali, Pooja Rai, Ankik Kumar Giri
The global existence of mass-conserving weak solutions to the Safronov-Dubovskii coagulation equation is shown for the coagulation kernels satisfying the at most linear growth for…