2 papers
math.AP2025
The Filippov characteristic flow for the aggregation equation with mildly singular potentials
José Antonio Carrillo, Francois James, Frédéric Lagoutière +1
Existence and uniqueness of global in time measure solution for the multidimensional aggregation equation is analyzed. Such a system can be written as a continuity equation with a…
math.AP2025
FullSWOF: A free software package for the simulation of shallow water flows
Olivier Delestre, Frédéric Darboux, Francois James +3
Numerical simulations of flows are required for numerous applications, and are usually carried out using shallow water equations. We describe the FullSWOF software which is based o…