We continue to consider in this chapter constant-coefficient systems in Lipschitz domains. More precisely, starting from a model of bidisperse porous media fluid flow proposed by Nield and Kuznetsov, we consider a more general, constant-coefficient system of coupled, incompressible Navier-Stokes type equations in a bounded Lipschitz domain in \(\mathbb R^{n}\) , \(n = 2\) or \(n =3\) , subject to homogeneous Dirichlet boundary conditions. This is the last chapter of the first part of the book.

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Isotropic Navier-Stokes Type Models for Flows in Bidisperse Porous Media

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

摘要

We continue to consider in this chapter constant-coefficient systems in Lipschitz domains. More precisely, starting from a model of bidisperse porous media fluid flow proposed by Nield and Kuznetsov, we consider a more general, constant-coefficient system of coupled, incompressible Navier-Stokes type equations in a bounded Lipschitz domain in \(\mathbb R^{n}\) , \(n = 2\) or \(n =3\) , subject to homogeneous Dirichlet boundary conditions. This is the last chapter of the first part of the book.