The Euler equations on a three-dimensional periodic domain have a family of shear flow steady states. We derive a formulation of the dynamics of the vorticity Fourier modes on a periodic domain and ...

Researchers used both linear stability theory and direct numerical simulations to uncover, for the first time, fluid instabilities in the Prandtl model for katabatic slope flows. Not only will this ...

Stability theory occupies a central role in the analysis of differential equations and wave equations, serving as the cornerstone for understanding the long‐term behaviour of dynamical systems. At its ...

Mathematical theory of hydrodynamic states; energy methods, linear theories, and nonlinear bifurcation theories. Convective, centrifugal, and shear flow instabilities. Instability of unsteady flows ...

This is a preview. Log in through your library . Abstract This work addresses a generalization of Dean's classical problem, which sought to explain how an annular thin elastic plate buckles under ...