GLOBAL FEEDBACK CONTROL OF INTERFACE
INSTABILITY OF THIN LIQUID FILMS
Emily M. Tian
Department of Mathematics and Statistics
Wright State University
Dayton, OH 45435, USA
Abstract. The control of stationary patterns developed on thin film surface subject to the electric field is studied theoretically near the threshold of instability. The time evolution of the interface between air and polymer film on the unbounded spatial domain is described by the thin film equation; a global feedback control is applied to suppress the subcritical instability. The condition for the controlled pattern to be stable is obtained.
AMS Subject classification: 35B36, 65P40, 76A20, 76E17
Keywords and phrases: thin film, pattern formation, global feedback control, electric field


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DOI: 10.12732/ijam.v27i1.5

Volume: 27
Issue: 1
Year: 2014