18 citations · 134 across the 30 of their papers we have counts for
38 papers
Localization properties of a free boundary problem for cell polarization
B. Niethammer, M. Röger, J. J. L. Velázquez
We investigate localization in a time-dependent contrained obstacle problem for the density of an active protein on a cell membrane. This free boundary problem has been derived in…
Edge States for generalised Iwatsuka models: Magnetic fields having a fast transition across a curve
Arianna Giunti, Juan J. L. Velázquez
In this paper, we study the localization and propagation properties of the edge states associated to a class of magnetic laplacians in . We assume that the intensity…
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…
Multicomponent coagulation systems: existence and non-existence of stationary non-equilibrium solutions
Marina A. Ferreira, Jani Lukkarinen, Alessia Nota +1
We study multicomponent coagulation via the Smoluchowski coagulation equation under non-equilibrium stationary conditions induced by a source of small clusters. The coagulation ker…
Interacting particle systems with long range interactions: approximation by tagged particles in random fields
Alessia Nota, Juan J. L. Velázquez, Raphael Winter
In this paper we continue the study of the derivation of different types of kinetic equations which arise from scaling limits of interacting particle systems. We began this study i…
Oscillations in a Becker-Döring model with injection and depletion
Barbara Niethammer, Robert L. Pego, André Schlichting +1
We study the Becker-Döring bubblelator, a variant of the Becker-Döring coagulation-fragmentation system that models the growth of clusters by gain or loss of monomers. Motivated by…