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

Abbatiello, Anna

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.

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