We study the existence of a least energy solution of the Beris - Edward model for liquid crystals, following the approach of Brezis - Lieb and assuming flow velocity equal to zero. A specific choice of the parameters in the De Gennes energy functional enables one to show that least energy solution exists and can be seen as a minmax point of the energy functional.
Least energy solutions for a model of liquid crystals
Barbera D.;Georgiev V.
2021-01-01
Abstract
We study the existence of a least energy solution of the Beris - Edward model for liquid crystals, following the approach of Brezis - Lieb and assuming flow velocity equal to zero. A specific choice of the parameters in the De Gennes energy functional enables one to show that least energy solution exists and can be seen as a minmax point of the energy functional.File in questo prodotto:
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