SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS IN TRIDIMENSIONAL THIN DOMAINS
DOI:
https://doi.org/10.5902/2179460X14635Keywords:
Navier-Stokes equations. Thin domains. Existence of solutions.Abstract
The classical form of the Navier-Stokes equations system, which is derived from the principle of conservation of mass and momentum, describes the motion of a homogeneous fluid subject to a field of external forces. In this work, we develop a study to find the maximal interval of existence of solutions in time to the Navier-Stokes equations in a three dimensional thin domain, i.e., Ω = ω × (0, ∈), where ω ⊂ R² e ∈ ∈ (0, 1), considering different combinations of boundary conditions.
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