3 citations · 3 across the 7 of their papers we have counts for
7 papers
Invariant-region-preserving high-order schemes for a model of reactive sedimentation
Juan Barajas-Calonge, Julio Careaga, Luis-Miguel Villada
Reactive sedimentation of mixtures composed by biological and inert solid matter including liquid substrates is modelled by a system of convection-diffusion-reaction equations. In…
Dynamically consistent finite volume scheme for a bimonomeric simplified model with inflammation processes for Alzheimer's disease
Juan Barajas-Calonge, Mauricio A. Sepulveda Cortes, Nicolas Torres +1
A model of progression of Alzheimer's disease (AD) incorporating the interactions of A-monomers, oligomers, microglial cells and interleukins with neurons is considered. The res…
Invariant-region-preserving WENO schemes for one-dimensional multispecies kinematic flow models
Juan Barajas-Calonge, Raimund Bürger, Pep Mulet +1
Multispecies kinematic flow models are defined by systems of N strongly coupled, nonlinear first-order conservation laws, where the solution is a vector of N partial volume fractio…
Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks
Mauricio Sepulveda, Nicolas Torres, Luis Miguel Villada
The elapsed time equation is an age-structured model that describes the dynamics of interconnected spiking neurons through the elapsed time since the last discharge, leading to man…
Nonlocal reaction traffic flow model with on-off ramps
F. A. Chiarello, H. D. Contreras, L. M. Villada
We present a non-local version of a scalar balance law modeling traffic flow with on-ramps and off-ramps. The source term is used to describe the traffic flow over the on-ramp and…
Existence of entropy weak solutions for 1D non-local traffic models with space-discontinuous flux
Felisia Angela Chiarello, Harold Deivi Contreras, Luis Miguel Villada
We study a 1D scalar conservation law whose non-local flux has a single spatial discontinuity. This model is intended to describe traffic flow on a road with rough conditions. We a…
High order numerical schemes for one-dimension non-local conservation laws
Christophe Chalons, Paola Goatin, Luis Villada
This paper focuses on the numerical approximation of the solutions of non-local conservation laws in one space dimension. These equations are motivated by two distinct applications…