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math.AP2025
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…
math.AP2025
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…
math.AP2024
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…