18 citations · 134 across the 30 of their papers we have counts for
9 papers · 1 filter
Self-similar asymptotics for a modified Maxwell-Boltzmann equation in systems subject to deformations
Alexander Bobylev, Alessia Nota, Juan J. L. Velázquez
In this paper we study a generalized class of Maxwell-Boltzmann equations which in addition to the usual collision term contains a linear deformation term described by a matrix A.…
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…
Stationary non-equilibrium solutions for coagulation systems
Marina A. Ferreira, Jani Lukkarinen, Alessia Nota +1
We study coagulation equations under non-equilibrium conditions which are induced by the addition of a source term for small cluster sizes. We consider both discrete and continuous…
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…
Long time asymptotics for homoenergetic solutions of the Boltzmann equation. Hyperbolic-dominated case
Richard D. James, Alessia Nota, Juan J. L. Velázquez
In this paper we continue the formal analysis of the long-time asymptotics of the homoenergetic solutions for the Boltzmann equation that we began in [18]. They have the form $f\le…