Weak solutions of non-isothermal nematic liquid crystal flow in dimension three

摘要

For any smooth domain R3, we establish the existence of a global weak solution to the simplified, non-isothermal Ericksen-Leslie system modeling the hydrodynamic motion of nematic liquid crystals with variable temperature for any initial and boundary data (0, 0, 0). x H1 (O, 2) x L1 (O), with 0(O). 2 +(the upper half sphere) and ess inf (Omega)theta(0) > 0.