Abstract
We consider a simplified smectic-A liquid crystal model in two dimensional bounded domain. The model consists of a Navier–Stokes equation governing the fluid velocity coupled with the transported heat flows of harmonic map. Based on the combination of the suitable dissipative estimates with the energy techniques, we established the existence of global attractor \(\mathcal {A}\) on a suitable phase-space and proved that the system has a regular compact absorbing set.
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The authors would like to express their deep thanks to the referee’s valuable suggestions for the revision and improvement of the manuscript.
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This work is supported by the Jilin Scientific and Technological Development Program (no. 20170101143JC) and the National Natural Science Foundation of China (no. 11471164).
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Liu, A., Liu, C. Global attractor for a smectic-A liquid crystal model in 2D. Boll Unione Mat Ital 11, 581–594 (2018). https://doi.org/10.1007/s40574-018-0156-2
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DOI: https://doi.org/10.1007/s40574-018-0156-2