Prefer a chat interface with context about you and your work?
Global well-posedness for the two-dimensional equations of nonhomogeneous incompressible liquid crystal flows with nonnegative density
In this paper, we first establish the global well-posedness ofstrong solutions of the simplified Ericksen-Leslie model fornonhomogeneous incompressible nematic liquid crystal flows indimensions two, if the initial data satisfies some smallnesscondition. It is worth pointing out that the initial density isallowed to contain vacuum states and the initial velocity can …