Weak-strong uniqueness property for the compressible flow of liquid crystals

Details Weak-strong uniqueness property for the compressible flow of liquid crystals Weak-strong uniqueness property for the compressible flow of liquid crystals

2012-03-30

arxiv.org/abs/1203.6745v1

Mathematics

Analysis of PDEs

Submitted for publication. arXiv admin note: text overlaps with arXiv:1108.4939, arXiv:1111.3082, arXiv:1104.5684, arXiv:1104.

Scientific paper

Weak-strong uniqueness property in the class of finite energy weak solutions
is established for two different compressible liquid crystal systems by the
method of relative entropy. To overcome the difficulties caused by the
molecular direction with inhomogeneous Dirichlet boundary condition, new
techniques are introduced to build up the relative entropy inequalities.

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