Scholarlink

This chapter is devoted to the analysis of a general class of coupled systems of steady-state Navier-Stokes type equations with a special anisotropy and non-homogeneous reaction terms, which is a possible model for incompressible fluid flows in multidisperse porous media. We obtain existence results for solutions satisfying the homogeneous Dirichlet condition in a bounded Lipschitz domain in \({\mathbb {R}}^{n}\) , for \(n = 2\) or \(n = 3\) , and localization results for the corresponding enstrophy and kinetic energies via a variational approach and fixed point index theory. This chapter concludes the second part of the book.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Anisotropic Navier-Stokes Type Models for Flows in Multidisperse Porous Media

  • 章节

  • 发表日期：

    2026年

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

摘要

This chapter is devoted to the analysis of a general class of coupled systems of steady-state Navier-Stokes type equations with a special anisotropy and non-homogeneous reaction terms, which is a possible model for incompressible fluid flows in multidisperse porous media. We obtain existence results for solutions satisfying the homogeneous Dirichlet condition in a bounded Lipschitz domain in \({\mathbb {R}}^{n}\) , for \(n = 2\) or \(n = 3\) , and localization results for the corresponding enstrophy and kinetic energies via a variational approach and fixed point index theory. This chapter concludes the second part of the book.