Purdue University Graduate School
Browse
Yinzhen_Thesis.pdf (1.08 MB)

Local exact controllability to the trajectories of the liquid crystal flow and global null controllability of the liquid crystal flow with an external field

Download (1.08 MB)
thesis
posted on 2023-12-09, 03:27 authored by Yinzhen LiYinzhen Li

This dissertation encompasses my research work during my Ph.D. career, focusing on the controllability properties of liquid crystal flow. I have achieved two main results, which are as follows: Firstly, I have established the local exact controllability to the trajectory of the simplified Ericksen-Leslie model and its Ginzburg-Landau approximation. Secondly, I have successfully proven the global null controllability of the simplified Ericksen-Leslie model with Lions boundary condition for u and Neumann boundary condition for d, with the aid of a globally defined magnetic field which is independent of the spatial variable x.

History

Degree Type

  • Doctor of Philosophy

Department

  • Mathematics

Campus location

  • West Lafayette

Advisor/Supervisor/Committee Chair

Changyou Wang

Additional Committee Member 2

Aaron Nung Kwan Yip

Additional Committee Member 3

Monica Torres

Additional Committee Member 4

Sai-Kee Yeung

Usage metrics

    Licence

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC