<p dir="ltr">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. </p>
| Identifer | oai:union.ndltd.org:purdue.edu/oai:figshare.com:article/24750021 |
| Date | 09 December 2023 |
| Creators | Yinzhen Li (17584263) |
| Source Sets | Purdue University |
| Detected Language | English |
| Type | Text, Thesis |
| Rights | CC BY 4.0 |
| Relation | https://figshare.com/articles/thesis/Local_exact_controllability_to_the_trajectories_of_the_liquid_crystal_flow_and_global_null_controllability_of_the_liquid_crystal_flow_with_an_external_field/24750021 |
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