111 citations · 465 across the 24 of their papers we have counts for
4 papers · 1 filter
Asymptotic gradient flow structures of a nonlinear Fokker-Planck equation
Maria Bruna, Martin Burger, Helene Ranetbauer +1
In this paper we consider a nonlinear Fokker-Planck equation with asymptotically small parameters. It describes the diffusion of finite-size particles in the presence of a fixed di…
Reactions, Diffusion and Volume Exclusion in a Heterogeneous System of Interacting Particles
Daniel Wilson, Helen Byrne, Maria Bruna
Complex biological and physical transport processes are often described through systems of interacting particles. Excluded-volume effects on these transport processes are well stud…
Particle-based and Meshless Methods with Aboria
Martin Robinson, Maria Bruna
Aboria is a powerful and flexible C++ library for the implementation of particle-based numerical methods. The particles in such methods can represent actual particles (e.g. Molecul…
Diffusion of particles with short-range interactions
Maria Bruna, S. Jonathan Chapman, Martin Robinson
A system of interacting Brownian particles subject to short-range repulsive potentials is considered. A continuum description in the form of a nonlinear diffusion equation is deriv…