41 citations · 157 across the 16 of their papers we have counts for
17 papers
Hybrid methods in reaction-diffusion equations
Tomás Alarcón, Natalia Briñas-Pascual, Juan Calvo +2
Simulation of stochastic spatially-extended systems is a challenging problem. The fundamental quantities in these models are individual entities such as molecules, cells, or animal…
Modeling compartmentalization within intracellular signaling pathway
Claire Alamichel, Juan Calvo, Erwan Hingant +3
We present a new modeling approach for G protein coupled receptors signaling systems, that take into account the compartmentalization of receptors and their effectors, both at plas…
Long-time asymptotic of the Lifshitz-Slyozov equation with nucleation
Juan Calvo, Erwan Hingant, Romain Yvinec
We consider the Lifshitz-Slyozov model with inflow boundary conditions of nucleation type. We show that for a collection of representative rate functions the size distributions app…
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…
The Initial-boundary value problem for the Lifshitz-Slyozov equation with non-smooth rates at the boundary
Juan Calvo, Erwan Hingant, Romain Yvinec
We prove existence and uniqueness of solutions to the initial-boundary value problem for the Lifshitz--Slyozov equation (a nonlinear transport equation on the half-line), focusing…
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…