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arXiv · 2109.02305

Exact controllability to nonnegative trajectory for a chemotaxis system

Qiang Tao·Muming Zhang
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Abstract

This paper studies the controllability for a Keller-Segel type chemotaxis model with singular sensitivity. Based on the Hopf-Cole transformation, a nonlinear parabolic system, which has first-order couplings, and the coupling coefficients are functions that depend on both time and space variables, is derived. Then, the controllability result is proved by a new global Carleman estimate for general coupled parabolic equations allowed to contain a convective term. Also, the global existence of nonnegative solution for the chemotaxis system is discussed.

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Qiang Tao, Muming Zhang. 2021-09-06. Exact controllability to nonnegative trajectory for a chemotaxis system. https://arxiv.org/abs/2109.02305

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