论文标题
维度二
The hydrostatic limit of the Beris-Edwards system in dimension two
论文作者
论文摘要
我们研究了缩放的各向异性联合旋转BERIS-EDWARDS系统,对列晶晶晶体的流体动力运动进行建模。我们证明了在薄带状域中使用较小的分析数据证明了全球良好的性能。此外,我们证明了涉及具有分析数据的静液压Navier-Stokes系统系统的限制并证明了收敛性。
We study the scaled anisotropic co-rotational Beris-Edwards system modeling the hydrodynamic motion of nematic liquid crystals in dimension two. We prove the global well-posedness with small analytic data in a thin strip domain. Moreover, we justify the limit to a system involving the hydrostatic Navier-Stokes system with analytic data and prove the convergence.