A controllability Result for a Chemotaxis-Fluid Model

2016/03/10 by Felipe W. Chaves-Silva, Chaves-Silva, Felipe W., Sergio Guerrero +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #Cellular Mechanics and Interactions #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1603.03231

openalex publication_date 2016/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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