A Fractional Parabolic‐Elliptic Chemotaxis‐Fluid System
Abstract
ABSTRACT The purpose of this paper is devoted to investigating a fractional parabolic‐elliptic chemotaxis system coupled with the Navier–Stokes equation in the whole space . We show the existence of a global mild solution to system (1.1) for small initial data in the scale invariant class demonstrating that and . Furthermore, by studying moments of lower order , we establish a blow‐up criterion of solution to system (1.1) with the help of the proof by contradiction.
Fields of Study & Subjects
Mathematical Biology Tumor Growth
Navier-Stokes equation solutions
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Mathematical Methods in the Applied Sciences
- Volume
- 49
- Issue
- 10
- Pages
- 10647–10696
- Publication date
- 24 February 2026
- Language
- EN