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Date Available
10-23-2012
Year of Publication
2012
Document Type
Doctoral Dissertation
Degree Name
Doctor of Philosophy (PhD)
College
Arts and Sciences
Department/School/Program
Mathematics
Faculty
Dr. Changyou Wang
Faculty
Dr. Peter Perry
Abstract
This manuscript demonstrates the well-posedness (existence, uniqueness, and regularity of solutions) of the Cauchy problem for simplified equations of nematic liquid crystal hydrodynamic flow in three dimensions for initial data that is uniformly locally L3(R3) integrable (L3U(R3)). The equations examined are a simplified version of the equations derived by Ericksen and Leslie. Background on the continuum theory of nematic liquid crystals and their flow is provided as are explanations of the related mathematical literature for nematic liquid crystals and the Navier–Stokes equations.
Recommended Citation
Hineman, Jay Lawrence, "THE HYDRODYNAMIC FLOW OF NEMATIC LIQUID CRYSTALS IN R3" (2012). Theses and Dissertations--Mathematics. 7.
https://uknowledge.uky.edu/math_etds/7
