1 citations · 1 across the 7 of their papers we have counts for
7 papers
A Li-Yau and Aronson-Bénilan approach for the Keller-Segel system with critical exponent
Charles Elbar, Alejandro Fernández-Jiménez, Filippo Santambrogio
The Li-Yau and Aronson-Bénilan estimates are fundamental differential inequalities for heat and porous-medium equations, yielding differential Harnack inequalities and sharp smooth…
A deterministic particle approximation for a fourth-order equation
Charles Elbar, Alejandro Fernández-Jiménez
We provide a deterministic particle approximation to a fourth order equation with applications in cell-cell adhesion. In order to do that, first we show that the equation can be as…
Drift-diffusion equations with saturation
José Antonio Carrillo, Alejandro Fernández-Jiménez, David Gómez-Castro
We focus on a family of nonlinear continuity equations for the evolution of a non-negative density with a continuous and compactly supported nonlinear mobility …
Competing effects in fourth-order aggregation-diffusion equations
José Antonio Carrillo, Antonio Esposito, Carles Falcó +1
We give sharp conditions for global in time existence of gradient flow solutions to a Cahn-Hilliard-type equation, with backwards second order degenerate diffusion, in any dimensio…
Partial mass concentration for fast-diffusions with non-local aggregation terms
José A. Carrillo, A. Fernández-Jiménez, D. Gómez-Castro
We study well-posedness and long-time behaviour of aggregation-diffusion equations of the form …
La ecuación de Keller-Segel
Alejandro Fernández-Jiménez
The purpose of this work is the study of \textit{chemotaxis} and how to model it through the equations of Keller-Segel. \textit{Chemotaxis} is a natural process which induces the o…
Matching arc complexes: connectedness and hyperbolicity
Javier Aramayona, Rodrigo de Pool, Alejandro Fernández
Addressing a question of Zaremsky, we give conditions on a finite simplicial graph which guarantee that the associated matching arc complex is connected and hyperbolic.