24 citations · 49 across the 5 of their papers we have counts for
6 papers
Uniform stability and chaotic dynamics in nonhomogeneous linear dissipative scalar ordinary differential equations
Juan Campos, Carmen Nuñez, Rafael Obaya
The paper analyzes the structure and the inner long-term dynamics of the invariant compact sets for the skewproduct flow induced by a family of time-dependent ordinary differential…
Traveling waves for a Fisher-type reaction-diffusion equation with a flux in divergence form
Margarita Arias, Juan Campos
Analysis of the speed of propagation in parabolic operators is frequently carried out considering the minimal speed at which its traveling waves move. This value depends on the sol…
Kinks and solitons in linear and nonlinear-diffusion Keller-Segel type models with logarithmic sensitivity
Juan Campos, Claudia García, Carlos Pulido +1
This paper investigates the existence of traveling--wave--type patterns in the Keller--Segel model with logarithmic sensitivity. We consider both the linear diffusion case and the…
Cross-diffusion and traveling waves in porous-media flux-saturated Keller-Segel models
Margarita Arias, Juan Campos, Juan Soler
This paper deals with the analysis of qualitative properties involved in the dynamics of Keller-Segel type systems in which the diffusion mechanisms of the cells are driven by poro…
Qualitative behavior for flux-saturated mechanisms: Traveling waves, waiting time and smoothing effects
Juan Calvo, Juan Campos, Vicent Caselles +2
This paper is devoted to the analysis of qualitative properties of flux-saturated type operators in dimension one. Specifically, we study regularity properties and smoothing effect…
Asymptotic estimates for the parabolic-elliptic Keller-Segel model in the plane
Juan Campos Serrano, Jean Dolbeault
We investigate the large-time behavior of the solutions of the two-dimensional Keller-Segel system in self-similar variables, when the total mass is subcritical, that is less than…