A nonlinear Markov evolution is a dynamical system generated by a measure-valued
ordinary differential equation with the specific feature of preserving positivity. This feature …

The Smoluchowski coalescence equation is a mean-field model for the growth of particles
by successive mergers, and has been recently studied by deterministic and probabilis-tic …

Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a
comprehensive exposition of the mathematical analysis of coagulation-fragmentation …

We analyze the two‐dimensional parabolic‐elliptic Patlak‐Keller‐Segel model in the whole
Euclidean space ℝ2. Under the hypotheses of integrable initial data with finite second …

Perturbations of Positive Semigroups with Applications is a self-contained introduction to
semigroup theory with emphasis on positive semigroups on Banach lattices and …

Résumé Pour toute masse donnée, nous démontrons l'existence d'au moins une solution
stationnaire pour l'équation de coagulation–fragmentation. Nous ne faisons pas d'hypothèse …

Rates of decay for the total mass of the solutions to Smoluchovski's equation with
homogeneous kernels of degree λ> 1 are proved. That implies that gelation always occurs …

The connection between the discrete and the continuous coagulation–fragmentation models
is investigated. A weak stability principle relying on a priori estimates and weak …

In recent years kinetic theory has developed in many areas of the physical sciences and
engineering, and has extended the borders of its traditional fields of application. New …

Smoluchowski coagulation equation for a class of homogeneous coagulation rates of
degree λ∈[0, 2). On the one hand for any initial datum fin∈ L˙ 11 we build a weak solution …