18 citations · 134 across the 30 of their papers we have counts for
4 papers · 1 filter
Kinetic Models for Semiflexible Polymers in a Half-plane
Jin Woo Jang, Juan J. L. Velázquez
Based on a general discrete model for a semiflexible polymer chain, we introduce a formal derivation of a kinetic equation for semiflexible polymers in the half-plane via a continu…
On the dynamics of thin layers of viscous flows inside another viscous fluid
Tania Pernas-Castaño, Juan J. L. Velázquez
In this work we will study the dynamics of a thin layer of a viscous fluid which is embedded in the interior of another viscous fluid. The resulting flow can be approximated by mea…
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…