6 papers
Contractivity for Smoluchowski's coagulation equation with solvable kernels
José A. Cañizo, Bertrand Lods, Sebastian Throm
We show that the Smoluchowski coagulation equation with the solvable kernels equal to , or is contractive in suitable Laplace norms. In particular, this prov…
The scaling hypothesis for Smoluchowski's coagulation equation with bounded perturbations of the constant kernel
José A. Cañizo, Sebastian Throm
We consider Smoluchowski's coagulation equation with a kernel of the form , where is a bounded kernel of homogeneity zero. For small , we prove that solutions ap…
Stability and uniqueness of self-similar profiles in spaces for perturbations of the constant kernel in Smoluchowski's coagulation equation
Sebastian Throm
In this work, we consider self-similar profiles for Smoluchowski's coagulation equation for kernels which are possibly unbounded perturbations of the constant one. For this model,…
Power Network Dynamics on Graphons
Christian Kuehn, Sebastian Throm
Power grids are undergoing major changes from a few large producers to smart grids build upon renewable energies. Mathematical models for power grid dynamics have to be adapted to…
Self-similar asymptotic behavior for the solutions of a linear coagulation equation
Barbara Niethammer, Alessia Nota, Sebastian Throm +1
In this paper we consider the long time asymptotics of a linear version of the Smoluchowski equation which describes the evolution of a tagged particle moving at constant speed in…
Smoluchowski's discrete coagulation equation with forcing
Christian Kuehn, Sebastian Throm
In this article we study an extension of Smoluchowski's discrete coagulation equation, where particle in- and output takes place. This model is frequently used to describe aggregat…