Global existence and regularity of solutions for active liquid crystals (Q525963)
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scientific article; zbMATH DE number 6712341
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence and regularity of solutions for active liquid crystals |
scientific article; zbMATH DE number 6712341 |
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Global existence and regularity of solutions for active liquid crystals (English)
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8 May 2017
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In this paper, the authors consider the hydrodynamics of active liquid crystals in the Beris-Edwards hydrodynamic framework with the Laudau-de Gennea Q-tensor order parameter to describe liquid crystalline ordering. Basing on the energy estimates and some crucial cancellations, the authors show the existence of global weak solutions in two and three spatial dimensions, and the higher regularity and the uniqueness of weak-strong solutions only in two spatial dimensional case.
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Navier-Stokes equations
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active liquid crystals
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global weak solutions
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higher regularity
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weak-strong uniqueness
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