28 citations · 29 across the 3 of their papers we have counts for
3 papers
math.NA2020★ 28 cited
Convergence of a Fully Discrete and Energy-Dissipating Finite-Volume Scheme for Aggregation-Diffusion Equations
Rafael Bailo, Jose A. Carrillo, Hideki Murakawa +1
We study an implicit finite-volume scheme for non-linear, non-local aggregation-diffusion equations which exhibit a gradient-flow structure, recently introduced by Bailo, Carrillo,…
math.AP2019★ 1 cited
Fast reaction limit of reaction-diffusion systems
Hideki Murakawa
Singular limit problems of reaction-diffusion systems have been studied in cases where the effects of the reaction terms are very large compared with those of the other terms. Such…
q-bio.CB2019
A population dynamics model of cell-cell adhesion incorporating population pressure and density saturation
Jose A. Carrillo, Hideki Murakawa, Makoto Sato +2
We discuss several continuum cell-cell adhesion models based on the underlying microscopic assumptions. We propose an improvement on these models leading to sharp fronts and interm…