18 citations · 134 across the 30 of their papers we have counts for
12 papers · 1 filter
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…
Localization in stationary non-equilibrium solutions for multicomponent coagulation systems
Marina A. Ferreira, Jani Lukkarinen, Alessia Nota +1
We consider the multicomponent Smoluchowski coagulation equation under non-equilibrium conditions induced either by a source term or via a constant flux constraint. We prove that t…
Interacting particle systems with long-range interactions: scaling limits and kinetic equations
Alessia Nota, Juan J. L. Velázquez, Raphael Winter
The goal of this paper is to describe the various kinetic equations which arise from scaling limits of interacting particle systems. We provide a formalism which allows us to deter…
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.…
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…
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…