Global existence and regularity for the dynamics of viscous oriented fluids

We prove global existence of weak solutions to regularized versions of balance equations representing the dynamics over a torus of complex fluids, with microstructure described by a vector field taking values in the unit ball. Regularization is offered by the presence of second-neighbor microstructu...

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Bibliographic Details
Main Authors: Luca Bisconti, Paolo Maria Mariano
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020006/fulltext.html