Nonlinear stability of Ekman boundary layers

Nonlinear stability of Ekman boundary layers

Consider the initial value problem for the three dimensional Navier-Stokes equations with rotation in the half-space R+ 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 the corresponding Reynolds number is small enough. Mor...

Stability of highly cooled hypervelocity boundary layers

The influence of high levels of wall cooling on the stability of hypervelocity boundary layers is investigated. Such conditions are relevant to experiments in high-enthalpy impulse facilities, where the wall temperature is much smaller than the free-stream temperature, as well as to some real flight scenarios. Some effects of wall cooling are well known, for instance, the stabilization of the f...

Stability of Mixed Ekman - Hartmann

On the stability of boundary layers of incompressible Euler equations

In this paper we investigate the stability and instability of boundary layers of incompressible Euler equations. Dans cet article on etudie la stabilit e et l'instabilit e de couches limites des equations d'Euler.

The L 1 - stability of boundary layers for scalar

Soit v = v(x) (x > 0) une solution stationnaire born ee non constante d'une loi de conservation parabolique scalaire u t + f (u) x = u xx , avec une condition de Dirichlet en x = 0. Il est bien connu que le semi-groupe de ce probl eme d' evolution est contractant pour la distance d(u; u 0) := ku ? u 0 k 1 induite par L 1 (IR +). Nous prouvons qu'en fait v est asymptotiquement stable : si u 0 ? ...