Coagulation and fragmentation with discrete mass loss

Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion

We present a new a-priori estimate for discrete coagulation-fragmentation systems with size-dependent diffusion within a bounded, regular domain confined by homogeneous Neumann boundary conditions. Following from a duality argument, this a-priori estimate provides a global L2 bound on the mass density and was previously used, for instance, in the context of reaction-diffusion equations. In this...

Discrete coagulation-fragmentation system with transport and diffusion

— We prove the existence of solutions to two infinite systems of equations obtained by adding a transport term to the classical discrete coagulation-fragmentation system and in a second case by adding transport and spacial diffusion. In both case, the particles have the same velocity as the fluid and in the second case the diffusion coefficients are equal. First a truncated system in size is so...

Exact and asymptotic scaling solutions for fragmentation with mass loss.

Gelation and Mass Conservation in Coagulation-fragmentation Models

The occurrence of gelation and the existence of mass-conserving solutions to the continuous coagulation-fragmentation equation are investigated under various assumptions on the coagulation and fragmentation rates, thereby completing the already known results. A non-uniqueness result is also established and a connection to the modified coagulation model of Flory is also made.

Strongly Differentiable Solutions of the Discrete Coagulation-Fragmentation Equation

We examine an infinite system of ordinary differential equations that models the coagulation and fragmentation of clusters. In contrast to previous investigations, we allow multiple fragmentation to occur and our analysis does not involve finite-dimensional truncations of the system. Instead, we treat the problem as an infinite-dimensional differential equation, posed in an appropriate Banach s...