3 papers
math.AP2024
Aggregation-Diffusion Equations for Collective Behaviour in the Sciences
Rafael Bailo, José A. Carrillo, David Gómez-Castro
This is a survey article based on the content of the plenary lecture given by José A. Carrillo at the ICIAM23 conference in Tokyo. It is devoted to produce a snapshot of the state…
math.NA2018
Fully Discrete Positivity-Preserving and Energy-Dissipating Schemes for Aggregation-Diffusion Equations with a Gradient Flow Structure
Rafael Bailo, Jose A. Carrillo, Jingwei Hu
We propose fully discrete, implicit-in-time finite-volume schemes for a general family of non-linear and non-local Fokker-Planck equations with a gradient-flow structure, usually k…
gr-qc2018
General relativity as a biconformal gauge theory
James T Wheeler
We consider the conformal group of a space of dim n=p+q, with SO(p,q) metric. The quotient of this group by its homogeneous Weyl subgroup gives a principal fiber bundle with 2n-dim…