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arXiv · 2201.03317

Solvability of the Fractional Hyperbolic Keller-Segel System

Gerardo Huaroto·Wladimir Neves
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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.

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Gerardo Huaroto, Wladimir Neves. 2022-01-10. Solvability of the Fractional Hyperbolic Keller-Segel System. https://arxiv.org/abs/2201.03317

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