A NEW BLOWUP CRITERION FOR STRONG SOLUTIONS OF THE COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOW

摘要

In this paper, we establish a new blowup criterion for the strong solution to the simplified Ericksen-Leslie system modeling compressible nematic liquid crystal flows in a bounded domain Omega subset of R-3. Specifically, we obtain the blowup criterion in terms of parallel to P parallel to(Lt infinity BMOx) and parallel to del d parallel to(LtsLx infinity), for any s > 3. The appearance of vacuum could be allowed.

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