Local well-posedness of nonhomogeneous incompressible liquid crystals model without compatibility condition. (June 2022) - Li, Quanrong
Abstract: This paper is concerned with the nonhomogeneous incompressible model for the nematic liquid crystals in a smooth bounded domain Ω ⊂ R 3 with vacuum being allowed. Compared with the results before, we proof the local existence of a unique strong solution without assuming any compatibility condition to the initial data.