On the fractional Fisher information with applications to a\n hyperbolic-parabolic system of chemotaxis

2016/07/21 by Rafael Granero-Belinchón, Granero-Belinchón, Rafael
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical Biology Tumor Growth #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1607.06362

openalex publication_date 2016/07/21 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

We introduce new lower bounds for the fractional Fisher information. Equipped\nwith these bounds we study a hyperbolic-parabolic model of chemotaxis and prove\nthe global existence of solutions in certain dissipation regimes.\n

Related

• Global solutions for a hyperbolic-parabolic system of chemotaxis
• Solvability of the Fractional Hyperbolic Keller-Segel System
• Random perturbations for the chemotaxis-fluid model with fractional dissipation: Global pathwise weak solutions
• Large global-in-time solutions to a nonlocal model of chemotaxis
• Existence and Asymptotic Behavior of Solutions to a Semilinear Hyperbolic-Parabolic Model of Chemotaxis