Chapter 1. Introduction.- Part I. Boundary value problems for the isotropic, constant-coefficient Brinkman and Navier-Stokes type systems in bounded Lipschitz domains in Rn.- Chapter 2. Preliminaries.- Chapter 3. Layer potentials for the constant-coefficient Brinkman system in bounded, Lipschitz domains.
- Chapter 4. Isotropic Navier-Stokes type models for flows in bidisperse porous media.- Part II. Transmission and boundary value problems for the anisotropic, Lâ-coefficients Stokes and Navier-Stokes systems in Lipschitz domains in Rn.- Chapter 5. Transmission problems for Stokes and Navier-Stokes systems with strongly elliptic coefficients in Rn.- Chapter 6. Layer potentials for the Stokes system with symmetric tensor coefficient satisfying a relaxed ellipticity condition.
- Chapter 7. Dirichlet-transmission problems for Stokes and Navier-Stokes systems in Lipschitz domains with internal interfaces.- Chapter 8. Dirichlet-transmission problems for Stokes and Navier-Stokes systems on bounded Lipschitz domains with transversal interfaces.- Chapter 9. Mixed-transmission problems for Stokes and Navier-Stokes systems in bounded Lipschitz domains with transversal interfaces.- Chapter 10. Periodic solutions for anisotropic Stokes, Oseen, and Navier-Stokes systems.
- Chapter 11. Anisotropic Navier-Stokes type models for flows in multidisperse porous media.- Part III. Transmission and boundary value problems for Stokes and Navier-Stokes type systems on compact Riemannian manifolds.- Chapter 12. Generalized Brinkman operators with smooth coefficients: Fundamental solutions and layer potentials.- Chapter 13. Transmission problems for Stokes and Navier-Stokes type systems with smooth coefficients.
- Chapter 14. Stokes and Navier-Stokes systems with non-smooth coefficients in Lipschitz domains.- Part IV. The generalized Stokes operator on manifolds with cylindrical ends.- Chapter 15. The essentially translation invariant calculus on manifolds with cylindrical ends.- Chapter 16. Invertibility of the generalized Stokes operator and of its layer potential operators on manifolds with straight cylindrical ends.