论文标题
固定各向异性和非局部可压缩纳维尔 - 斯托克斯系统的弱解决方案
Weak Solutions for the Stationary Anisotropic and Nonlocal Compressible Navier-Stokes System
论文作者
论文摘要
在本文中，我们证明了在周期域中具有各向异性和非局部粘性项的固定可压缩纳维尔 - 长方体方程的弱解决方案。这为对地球物理或微叶酸的应用重要的开放问题提供了答案。主要思想是以一种非平凡的方式调整作者在上一篇论文中发展的新想法，请参见[2]，这使他们能够处理各向异性可压缩的准平台Stokes System。
In this paper, we prove global existence of weak solutions for the stationary compressible Navier-Stokes equations with an anisotropic and nonlocal viscous term in a periodic domain. This gives an answer to an open problem important for applications in geophysics or in microuidics. The main idea is to adapt in a non-trivial way the new idea developped by the authors in a previous paper, see [2] which allowed them to treat the anisotropic compressible quasi-stationary Stokes system.
