A note on the stability of the twisted nematic critical state in the liquid crystal theory (Q2796461)

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scientific article; zbMATH DE number 6560225
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A note on the stability of the twisted nematic critical state in the liquid crystal theory
scientific article; zbMATH DE number 6560225

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    24 March 2016
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    stability
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    twisted nematic critical state
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    crystal theory
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    A note on the stability of the twisted nematic critical state in the liquid crystal theory (English)
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    The paper deals with the weak stability of a special critical point of the Oseen-Frank energy functional, that is a twisted nematic critical state, under an exterior magnetic field. It is shown that if both the twisting grade of the crystal and the exterior magnetic field are small, then the state of the crystal is weakly stable. The problem is defined in Sobolev spaces.
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