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In this chapter, we present results related to the ones in the previous chapters, but on periodic solutions in \({\mathbb R}^n\) , \(n \ge 2\) . More precisely, our results are for the periodic, stationary (steady-state) Stokes, the generalized Oseen, and the Navier-Stokes equations of anisotropic fluids, with an emphasis on solution regularity. The periodic setting is interesting on its own, modeling fluid flows in periodic composite structures and is also a common occurrence in homogenization theories for inhomogeneous fluids and in large eddy simulations.

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Periodic Solutions for Stationary Anisotropic Stokes, Oseen, and Navier-Stokes Systems

  • 章节

  • 发表日期：

    2026年

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  • Mirela Kohr,
  • Sergey E. Mikhailov,
  • Victor Nistor,
  • Wolfgang L. Wendland

摘要

In this chapter, we present results related to the ones in the previous chapters, but on periodic solutions in \({\mathbb R}^n\) , \(n \ge 2\) . More precisely, our results are for the periodic, stationary (steady-state) Stokes, the generalized Oseen, and the Navier-Stokes equations of anisotropic fluids, with an emphasis on solution regularity. The periodic setting is interesting on its own, modeling fluid flows in periodic composite structures and is also a common occurrence in homogenization theories for inhomogeneous fluids and in large eddy simulations.