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Preprints, Working Papers, ... Year : 2016

Boundary layer for rotating fluids with small viscosity

Van-Sang Ngo

Abstract

In this paper, we study the system of rotating fluids between two infinite parallel plates with Dirichlet boundary conditions and with small viscosity which vanishes when the Rossby number goes to zero. We want to show the global in time convergence of the weak solution of the system of rotating fluids towards the solution of a two-dimensional damped Euler system with three components, using the decay in time of the H^s -norm (s > 2) of the limiting solution.
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Dates and versions

hal-01118494 , version 1 (19-02-2015)
hal-01118494 , version 2 (23-03-2016)
hal-01118494 , version 3 (21-10-2019)

Identifiers

  • HAL Id : hal-01118494 , version 2

Cite

Van-Sang Ngo. Boundary layer for rotating fluids with small viscosity. 2016. ⟨hal-01118494v2⟩
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