Solvability of the Fractional Hyperbolic Keller-Segel System
Analysis of PDEs
2022-06-03 v2
Abstract
We study a new nonlocal approach to the mathematical modelling of the Chemotaxis problem, which describes the random motion of a certain population due a substance concentration. Considering the initial-boundary value problem for the fractional hyperbolic Keller-Segel model, we prove the solvability of the problem. The solvability result relies mostly on fractional calculus and kinetic formulation of scalar conservation laws.
Keywords
Cite
@article{arxiv.2201.03317,
title = {Solvability of the Fractional Hyperbolic Keller-Segel System},
author = {Gerardo Huaroto and Wladimir Neves},
journal= {arXiv preprint arXiv:2201.03317},
year = {2022}
}
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34 pages