Incompressible Maxwell-Boussinesq approximation: Existence, uniqueness and shape sensitivity
Luisa Consiglieri, Šárka Nečasová, Jan Sokolowski (2009)
Control and Cybernetics
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Incompressible Maxwell-Boussinesq approximation: Existence, uniqueness and shape sensitivity
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Convergence of the rotating fluids system in a domain with rough boundaries
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We consider a rotating fluid in a domain with rough horizontal boundaries. The Rossby number, kinematic viscosity and roughness are supposed of characteristic size . We prove a convergence theorem on solutions of Navier-Stokes Coriolis equations, as goes to zero, in the well prepared case. We show in particular that the limit system is a two-dimensional Euler equation with a nonlinear damping term due to boundary layers. We thus generalize the results obtained on flat boundaries with...