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arXiv · 1509.00597

Uniqueness of Weak Solutions of the Full Coupled Navier-Stokes and Q-Tensor System in 2D

Francesco De Anna·Arghir Zarnescu
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Abstract

This paper is devoted to the full system of incompressible liquid crystals, as modeled in the Q-tensor framework. The main purpose is to establish the uniqueness of weak solutions in a two dimensional setting, without imposing an extra regularity on the solutions themselves. This result only requires the initial data to fulfill the features which allow the existence of a weak solution. Thus, we also present a revisit of the global existence result in dimension two and three.

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Francesco De Anna, Arghir Zarnescu. 2016-03-10. Uniqueness of Weak Solutions of the Full Coupled Navier-Stokes and Q-Tensor System in 2D. https://arxiv.org/abs/1509.00597

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