18 citations · 134 across the 30 of their papers we have counts for
5 papers · 2 filters
Edge States for the magnetic Laplacian in domains with smooth boundary
Arianna Giunti, Juan J. L. Velázquez
We are interested in the spectral properties of the magnetic Schrödinger operator in a domain with compact boundary and with magnetic field…
Solutions with peaks for a coagulation-fragmentation equation. Part II: aggregation in peaks
Marco Bonacini, Barbara Niethammer, Juan Velázquez
The aim of this two-part paper is to investigate the stability properties of a special class of solutions to a coagulation-fragmentation equation. We assume that the coagulation ke…
Solutions with peaks for a coagulation-fragmentation equation. Part I: stability of the tails
Marco Bonacini, Barbara Niethammer, Juan Velázquez
The aim of this two-part paper is to investigate the stability properties of a special class of solutions to a coagulation-fragmentation equation. We assume that the coagulation ke…
Analysis of a thin film approximation for two-fluid Taylord-Couette flows
Tania Pernas-Castaño, Juan J. L. Velázquez
In this work we study the evolution of the interface between two different fluids in two concentric cylinders when the velocity is given by the Navier-Stokes equation and one of th…
A bulk-surface reaction-diffusion system for cell polarization
Barbara Niethammer, Matthias Röger, Juan J. L. Velázquez
We propose a model for cell polarization as a response to an external signal which results in a system of PDEs for different variants of a protein on the cell surface and interior…