【摘要】 本文考察可压液晶流的长时间行为.如果稳态函数ds极小化Ginzburg-Landau逼近能量,则可以证明有限能量弱解(ρ,u,d)(t,x)收敛于(ρs,0,ds)(x),这里ρs是由总质量守恒唯一确定的密度函数.更多还原

【Abstract】 In this paper, we consider the long-time behavior of the liquid crystals equations of compressible flow. We prove that if the static state ds minimizes the Ginzburg-Landau approximation energy, then the finite energy weak solutions (ρ, u, d)(t, x) converges to (ρs, 0, ds)(x) with unique density function ρs, which satisfies the conservation of mass.更多还原