A regularity condition of strong solutions to the two‐dimensional equations of compressible nematic liquid crystal flows |
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| Authors: | Teng Wang |
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| Affiliation: | Department of Mathematics, School of Science, Beijing Forestry University, Beijing, China |
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| Abstract: | This paper is concerned with the short time strong solutions for Cauchy problem to a simplified Ericksen–Leslie system of compressible nematic liquid crystals in two dimensions with vacuum as far field density. We establish a blow‐up criterion for possible breakdown of such solutions at a finite time, which is analogous to the well‐known Serrin's blow‐up criterion for the incompressible Navier–Stokes equations. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | compressible nematic liquid crystal flows regularity criterion Cauchy problem vacuum |
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