Defects of liquid crystals with variable degree of orientation
classification
🧮 math.AP
math-phmath.MP
keywords
crystalsdegreeliquidorientationvariableconsistscontinuouscrossings
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We prove that the zero set of a minimizer of the modified Ericksen energy for nematic liquid crystals with variable degree of orientation consists locally of isolated points and a finite union of H\"older continuous curves with only finitely many crossings.
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