The aim of this study was to establish a new regularity criterion for local-in-time smooth solutions for the 3D nematic liquid crystal flows in terms of the horizontal gradient of two horizontal velocity components in the framework of the homogeneous Besov B∞-1 space and one directional derivative of molecular orientations in the framework of the homogeneous Morrey-Campanato space.
A new regularity criterion for the 3D nematic liquid crystal flows
Maria Alessandra Ragusa
2024-01-01
Abstract
The aim of this study was to establish a new regularity criterion for local-in-time smooth solutions for the 3D nematic liquid crystal flows in terms of the horizontal gradient of two horizontal velocity components in the framework of the homogeneous Besov B∞-1 space and one directional derivative of molecular orientations in the framework of the homogeneous Morrey-Campanato space.File in questo prodotto:
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