The 3D Navier-Stokes Equations with Damping in Bounded Domains
Yong-Ho KimKwang-Ok Li
Broschiertes Buch

The 3D Navier-Stokes Equations with Damping in Bounded Domains

The 3D Navier-Stokes Equations

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The Navier-Stokes equations with damping describe the flow with the resistance to motion. From a mathematical viewpoint, the equations can be viewed as a modification of the classical Navier-Stokes equations with the regularizing term. This monograph concerns the initial-boundary value problems for the Navier-Stokes equations and the Boussinesq system with damping in three-dimensional bounded domains, respectively. First, the existence of strong solutions of both problems in a certain range of parameters is proved. Second, under the same conditions on parameters, the uniqueness of Leray-Hopf w...