247 citations · 278 across the 26 of their papers we have counts for
3 papers · 2 filters
Hydrodynamic limit of the kinetic Cucker-Smale flocking model
Trygve Karper, Antoine Mellet, Konstantina Trivisa
The hydrodynamic limit of a kinetic Cucker-Smale model is investigated. In addition to the free-transport of individuals and the Cucker-Smale alignment operator, the model under co…
Existence of weak solutions to kinetic flocking models
Trygve Karper, Antoine Mellet, Konstantina Trivisa
We establish the global existence of weak solutions to a class of kinetic flocking equations. The models under consideration include the kinetic Cucker-Smale equation with possibly…
On strong local alignment in the kinetic Cucker-Smale model
Trygve Karper, Antoine Mellet, Konstantina Trivisa
In two recent papers the authors study the existence of weak solutions and the hydrodynamic limit of kinetic flocking equations with strong local alignment. The introduction of a s…