研究了三维欧氏空间有界区域中向列型液晶流的一个简化系统,这是一个耦合的非抛物耗散动力系统.得到了基本能量不等式,并用之证明全局弱解的存在性.
A simplified system for the flow of nematic liquid crystals in a bounded domain in Euclidean space of dimension three is studied. This is a coupled non-parabolic dissipative dynamic system. The basic energy law which enables us to prove the global existence of the weak solution is derived.