8 citations · 8 across the 2 of their papers we have counts for
3 papers · 1 filter
Multiscale continuum-velocity kinetic model for vehicular traffic with local and mean field interactions
J. Calvo, J. Nieto, M. Zagour
This paper deals with the modeling and mathematical analysis of vehicular traffic phenomena according to a kinetic theory approach, where the microscopic state of vehicles is descr…
Anisotropic tempered diffusion equations
Juan Calvo, Antonio Marigonda, Giandomenico Orlandi
We introduce a functional framework which is specially suited to formulate several classes of anisotropic evolution equations of tempered diffusion type. Under an amenable set of h…
Global weak solutions to the relativistic BGK equation
Juan Calvo, Pierre-Emmanuel Jabin, Juan Soler
In this paper the global existence of weak solutions to the relativistic BGK model for the relativistic Boltzmann equation is analyzed. The proof relies on the strong compactness o…