论文标题
时间周期性的弱解决方案,用于不可压缩的牛顿流体
Time-periodic weak solutions to incompressible generalized Newtonian fluids
论文作者
论文摘要
在这项研究中,我们对通用粘性流体的Navier-Stokes样系统感兴趣,其粘度具有带有指数Q的功率结构。每当q> 6/5> 6/5时,我们就会开发出时间弱解的周期性解决方案的定期弱解,这是弱解决方案存在的最佳结合。
In this study we are interested in the Navier-Stokes-like system for generalized viscous fluids whose viscosity has a power-structure with exponent q. We develop an existence theory of periodic in time weak solutions to the three-dimensional flows subject to a periodic in time force datum whenever q>6/5, which is the optimal bound for the existence of weak solutions.