18 citations · 134 across the 30 of their papers we have counts for
24 papers · 1 filter
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…
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…
Boundary value problems for two dimensional steady incompressible fluids
Diego Alonso-Orán, Juan Juan J. L. Velázquez
In this paper we study the solvability of different boundary value problems for the two dimensional steady incompressible Euler equation. Two main methods are currently available t…