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Blow-up Criteria of Strong Solutions to the Ericksen-Leslie System in โ„<sup>3</sup>

Blow-up Criteria of Strong Solutions to the Ericksen-Leslie System in โ„<sup>3</sup>

In this paper, we establish the local well-posedness and blow-up criteria of strong solutions to the Ericksen-Leslie system in โ„3 for the well-known Oseen-Frank model. The local existence of strong solutions to liquid crystal flows is obtained by using the Ginzburg-Landau approximation approach to guarantee the constraint that the direction โ€ฆ