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propagation of defects

European Journal of Applied Mathematics (1)

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A perturbative approach to the backflow dynamics of nematic defects
PAOLO BISCARI, TIMOTHY J. SLUCKIN
Journal:

European Journal of Applied Mathematics / Volume 23 / Issue 1 / February 2012

Published online by Cambridge University Press:

05 January 2011, pp. 181-200
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We present an asymptotic theory that includes in a perturbative expansion the coupling effects between the director dynamics and the velocity field in a nematic liquid crystal. Backflow effects are most significant in the presence of defect motion, since in this case the presence of a velocity field may strongly reduce the total energy dissipation and thus increase the defect velocity. As an example, we illustrate how backflow influences the speeds of opposite-charged defects.