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20212026
most citedLong-time asymptotics for coagulation equations with injection that do not have stationary solutions

3 citations · 4 across the 6 of their papers we have counts for

collaborators

6 papers

math.PR2026

Flux solutions for stochastic chemical systems with sources and sinks

E. Franco, J. J. L. Velázquez

In this paper we study a class of stochastic chemical systems that, in general, do not satisfy the property of detailed balance nor the property of complex balance. These systems a…

math.AP2026

Long-time behaviour of rouleau formation models

Eugenia Franco, Bernhard Kepka

In this paper we study a two-component coagulation equation that models the aggregation of rouleaux in blood. We consider product kernels that have homogeneity and we character…

math-ph2023

Coagulation equations with source leading to anomalous self-similarity

Marina A. Ferreira, Eugenia Franco, Jani Lukkarinen +2

We study the long-time behaviour of the solutions to Smoluchowski coagulation equations with a source term of small clusters. The source drives the system out-of-equilibrium, leadi…

math.AP2022★ 3 cited

Long-time asymptotics for coagulation equations with injection that do not have stationary solutions

Iulia Cristian, Marina A. Ferreira, Eugenia Franco +1

In this paper we study a class of coagulation equations including a source term that injects in the system clusters of size of order one. The coagulation kernel is homogeneous, of…

math.AP2022

Modelling physiologically structured populations: renewal equations and partial differential equations

Eugenia Franco, Odo Diekmann, Mats Gyllenberg

We analyse the long term behaviour of the measure-valued solutions of a class of linear renewal equations modelling physiologically structured populations. The renewal equations th…

math.AP2021★ 1 cited

On the self-similar behaviour of coagulation systems with injection

Marina A. Ferreira, Eugenia Franco, Juan J. L. Velázquez

In this paper we prove the existence of a family of self-similar solutions for a class of coagulation equations with a constant flux of particles from the origin. These solutions a…