Titlebook: Navier–Stokes Equations; An Introduction with Grzegorz ?ukaszewicz,Piotr Kalita Book 2016 Springer International Publishing Switzerland 201

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Trajectory Attractors and Feedback Boundary Control in Contact Problems,itions on a part of the boundary of the flow domain. Our considerations are motivated by feedback control problems for fluid flows in domains with semipermeable walls and membranes and by the theory of lubrication. Our aim is to prove the existence of global in time solutions of the considered probl

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Navier–Stokes Equations978-3-319-27760-8Series ISSN 1571-8689 Series E-ISSN 1876-9896

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Equations of Classical Hydrodynamics,In this chapter we give an overview of the equations of classical hydrodynamics. We provide their derivation, comment on the stress tensor, and thermodynamics, finally we present some elementary properties and also some exact solutions of the Navier–Stokes equations.

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Mathematical Preliminaries,In this chapter we introduce the basic preliminary mathematical tools to study the Navier–Stokes equations, including results from linear and nonlinear functional analysis as well as the theory of function spaces. We present, in particular, some of the most frequently used in the sequel embedding theorems and differential inequalities.