A controllability Result for a Chemotaxis-Fluid Model
Felipe W. Chaves-Silva, Sergio Guerrero
TL;DR
This paper proves the local exact controllability of a coupled chemotaxis-fluid model, specifically the Keller-Segel-Navier-Stokes system, using new Carleman inequalities for both chemotaxis and fluid dynamics.
Contribution
It introduces novel Carleman inequalities that enable the proof of local controllability for the coupled chemotaxis-fluid system, advancing control theory in biological-fluid models.
Findings
Established local exact controllability around specific trajectories.
Developed new Carleman inequalities for chemotaxis equations.
Enhanced Carleman inequalities for the Stokes system.
Abstract
In this paper we study the controllability of a coupled Keller-Segel-Navier-Stokes system. We show the local exact controllability of the system around some particular trajectories. The proof relies on new Carleman inequalities for the chemotaxis part and some improved Carleman inequalities for the Stokes system.
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Taxonomy
TopicsMathematical Biology Tumor Growth · Gene Regulatory Network Analysis · Cellular Mechanics and Interactions