Global strict solutions to continuous coagulation-fragmentation equations with strong fragmentation

Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion

We consider the diffusive continuous coagulation-fragmentation equations with and without scattering and show that they admit unique strong solutions for a large class of initial values. If the latter values are small with respect to a suitable norm, we provide sufficient conditions for global-in-time existence in the absence of fragmentation.

Coagulation-fragmentation Processes

We study the well-posedness of coagulation-fragmentation models with diiusion for large systems of particles. The continuous and the discrete case are considered simultaneously. In the discrete situation we are concerned with a countable system of coupled reaction-diiusion equations, whereas the continuous case amounts to an uncountable system of such equations. These problems can be handled by...

The Continuous Coagulation Equation with Multiple Fragmentation

We present a proof of the existence of solutions to the continuous coagulation equation with multiple fragmentation whenever the kernels satisfy certain growth conditions. The proof relies on weak L compactness methods applied to suitably chosen approximating equations. The question of uniqueness is also considered.

Existence and Uniqueness of Density Conserving Solutions to the Coagulation-Fragmentation Equations With Strong Fragmentation

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...