Asymptotics of time harmonic solutions to a thin ferroelectric model.
Aïssa, Naïma, Hamdache, Kamel (2007)
Abstract and Applied Analysis
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Aïssa, Naïma, Hamdache, Kamel (2007)
Abstract and Applied Analysis
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John W. Barrett, Xiaobing Feng, Andreas Prohl (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider a degenerate parabolic system which models the evolution of nematic liquid crystal with variable degree of orientation. The system is a slight modification to that proposed in [Calderer , (2002) 1033–1047], which is a special case of Ericksen's general continuum model in [Ericksen, (1991) 97–120]. We prove the global existence of weak solutions by passing to the limit in a regularized system. Moreover, we propose a practical fully discrete...