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SOLUÇÃO PARA AS EQUAÇÕES DE NAVIER-STOKES EM DOMÍNIOS TRIDIMENSIONAIS FINOS

2015; UNIVERSIDADE FEDERAL DE SANTA MARIA; Volume: 37; Issue: 1 Linguagem: Inglês

10.5902/2179460x14635

2179-460X

Felipe Minuzzi, João Paulo Lukaszczyk,

Coastal and Marine Dynamics

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.