3 citations · 7 across the 5 of their papers we have counts for
6 papers
Mass concentration in a spatially inhomogeneous coagulation model with fast sedimentation
Iulia Cristian, Juan J. L. Velázquez
We study a spatially inhomogeneous coagulation model that contains a transport term in the spatial variable. The transport term models the vertical motion of particles due to gravi…
A note on instantaneous gelation for coagulation kernels vanishing on the diagonal
Iulia Cristian, Barbara Niethammer, Juan J. L. Velázquez
We prove that instantaneous gelation (i.e., instantaneous loss of mass) occurs for coagulation equations with sum-type kernels of homogeneity greater than one which vanish on the d…
On an inhomogeneous coagulation model with a differential sedimentation kernel
Iulia Cristian, Barbara Niethammer, Juan J. L. Velázquez
We study an inhomogeneous coagulation equation that contains a transport term in the spatial variable modeling the sedimentation of clusters. We prove local existence of mass conse…
Fast fusion in a two-dimensional coagulation model
Iulia Cristian, Juan J. L. Velázquez
In this work, we study a particular system of coagulation equations characterized by two values, namely volume and surface area . Compared to the standard one-dimensional mo…
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…
Coagulation equations for non-spherical clusters
Iulia Cristian, Juan J. L. Velázquez
In this work, we study the long time asymptotics of a coagulation model which describes the evolution of a system of particles characterized by their volume and surface area. The a…