4 papers
Remarks on unsolved basic problems of the Navier-Stokes equations
Alexander Rauh
There is renewed interest in the question of whether the Navier-Stokes equations (NSE), one of the fundamental models of classical physics and widely used in engineering applicatio…
Remarks on perturbation theory for Hamiltonian systems
Alexander Rauh
A comparative discussion of the normal form and action angle variable method is presented in a tutorial way. Normal forms are introduced by Lie series which avoid mixed variable ca…
Global stability of systems related to the Navier-Stokes equations
Alexander Rauh
A generalized Lyapunov method is outlined which predicts global stability of a broad class of dissipative dynamical systems. The method is applied to the complex Lorenz model and t…
Critical curves of plane Poiseuille flow with slip boundary conditions
Andreas Spille, Alexander Rauh, Heiko Buehring
We investigate the linear stability of plane Poiseuille flow in 2D under slip boundary conditions. The slip s is defined by the tangential velocity at the wall in units of the maxi…