Local Null Controllability of a Chemotaxis System of Parabolic-Elliptic Type
Optimization and Control
2013-04-23 v1
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.
Keywords
Cite
@article{arxiv.1304.5796,
title = {Local Null Controllability of a Chemotaxis System of Parabolic-Elliptic Type},
author = {Bao-Zhu Guo and Liang Zhang},
journal= {arXiv preprint arXiv:1304.5796},
year = {2013}
}