Аннотация:Consider the initial value problem for the three-dimensional Navier–Stokes equations with rotation in the half-space ℝ3+ subject to Dirichlet boundary conditions as well as the Ekman spiral, which is a stationary solution to the above equations. It is proved that the Ekman spiral is nonlinearly stable with respect to L2-perturbations provided that the corresponding Reynolds number is small enough. Moreover, the decay rate can be computed in terms of the decay of the corresponding linear problem.
Источник:Bulletin of the London Mathematical Society
Ключевые слова:Navier-Stokes equation solutions, Advanced Mathematical Modeling in Engineering, Stability and Controllability of Differential Equations
