6 papers · 1 filter
Transient instability and recurrent aggregation in a two-species chemotaxis-competition system under environmental periodicity
Federico Herrero-Hervás, Pedro Hernández-Alonso, Mihaela Negreanu
This work investigates recurrent pattern formation in a two--species chemotaxis system with competitive dynamics under the assumption that the carrying capacities of both species a…
Global stability in a negative chemotaxis system with chemically induced lethality
Federico Herrero-Hervás, Mihaela Negreanu
In this paper, we investigate the long-time dynamics of a repulsive Keller-Segel chemotaxis system. The model features negative chemotaxis, logistic growth and a cell death term, a…
Weak global solvability of a doubly degenerate parabolic-elliptic nutrient taxis system
Federico Herrero-Hervás
This work studies the following doubly degenerate parabolic-elliptic nutrient taxis system $$ \begin{cases} u_t = (uvu_x)_x -(u^2 vv_x)_x + uv, \\[1.5 ex] \hspace{0.2 cm}0 = v_{xx}…
Asymptotics and periodic dynamics in a negative chemotaxis system with cell lethality
Federico Herrero-Hervás, Mihaela Negreanu
This work studies the following system of parabolic partial differential equations \begin{equation*} \begin{cases} \displaystyle \frac{\partial u}{\partial t} = DΔu + χ\nabla \cdot…
Global weak solutions to a doubly degenerate nutrient taxis system on the whole real line
Federico Herrero-Hervás
This work addresses the one-dimensional Cauchy problem for the doubly degenerate nutrient taxis model \begin{equation*} \begin{cases} \displaystyle \frac{\partial u}{\partial t} =…
A new coupled model for laser-induced thermal ablation accounting for tissue water vaporization
Federico Herrero-Hervás, Angiolo Farina
A new model is considered to describe the evolution of tissue temperature and water concentration during a thermal ablation process. The aim of this study is to expand the results…