The article treats the Beris-Edward's Model for liquid crystals with absence of flow. In particular, we consider the case of energy functionals unbounded from below. At the beginning we prove the existence of ground states for the stationary problem set in several open sets and with different boundary conditions. The last part is devoted to the evolution problem in ℝ3, where we establish local and global existence with small initial data. The results come from several applications of Strichartz-type estimates and by contraction arguments.
Beris-Edward's model with absence of flow
Barbera D.;Georgiev V.
2022-01-01
Abstract
The article treats the Beris-Edward's Model for liquid crystals with absence of flow. In particular, we consider the case of energy functionals unbounded from below. At the beginning we prove the existence of ground states for the stationary problem set in several open sets and with different boundary conditions. The last part is devoted to the evolution problem in ℝ3, where we establish local and global existence with small initial data. The results come from several applications of Strichartz-type estimates and by contraction arguments.File in questo prodotto:
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