Exact controllability to nonnegative trajectory for a chemotaxis system
Optimization and Control
2023-10-30 v2
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.
Cite
@article{arxiv.2109.02305,
title = {Exact controllability to nonnegative trajectory for a chemotaxis system},
author = {Qiang Tao and Muming Zhang},
journal= {arXiv preprint arXiv:2109.02305},
year = {2023}
}