Local Null Controllability of a Chemotaxis System of Parabolic-Elliptic Type

2013/04/21 by Bao‐Zhu Guo, Liang Zhang, Guo, Bao-Zhu +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Cancer Cells and Metastasis #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1304.5796

openalex publication_date 2013/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we are concerned with the controllability of a chemotaxis system of parabolic-elliptic type. By linearizing the nonlinear system into two separated linear equations to bypass the obstacle caused by the nonlinear drift term, we establish the local null controllability of the original nonlinear system. The approach is different from the usual way of treating the coupled parabolic systems.

Citations

• On explosions of solutions to a system of partial differential equations modelling chemotaxis
• A user’s guide to PDE models for chemotaxis

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• Local Exact Controllability of a Parabolic System of Chemotaxis
• Exact controllability to nonnegative trajectory for a chemotaxis system
• Null controllability of a parabolic system with a cubic coupling term
• Null controllability for a parabolic-elliptic coupled system
• A controllability Result for a Chemotaxis-Fluid Model