Spherically symmetric solutions to compressible hydrodynamic flow of liquid crystals in N dimensions
Jinrui Huang , Shijin Ding
Chinese Annals of Mathematics, Series B ›› 2012, Vol. 33 ›› Issue (3) : 453 -478.
Spherically symmetric solutions to compressible hydrodynamic flow of liquid crystals in N dimensions
The paper is concerned with the system modeling the compressible hydrodynamic flow of liquid crystals with radially symmetric initial data and non-negative initial density in dimension N (N ≥ 2). The authors obtain the existence of global radially symmetric strong solutions in a bounded or unbounded annular domain for any γ > 1.
Liquid crystals / Compressible hydrodynamic flow / Global solutions
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Ding, S. J., Huang, J. R., Wen, H. Y., et al., Incompressible limit of the compressible hydrodynamic Flow. arXiv: 1104.4377v1 |
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Ding, S. J., Lin, J. Y., Wang, C. Y., et al., Compressible hydrodynamic flow of liquid crystals in 1-D, Discrete Contin. Dyn. Syst., to appear. |
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