4 years ago

Novel discoveries on the mathematical foundation of linear hydrodynamic stability theory.

Y. Charles Li

We present some new discoveries on the mathematical foundation of linear hydrodynamic stability theory. The new discoveries are: 1. Linearized Euler equations fail to provide a linear approximation on inviscid hydrodynamic stability. 2. Eigenvalue instability predicted by high Reynolds number linearized Navier-Stokes equations cannot capture the dominant instability of super fast growth. 3. As equations for directional differentials, Rayleigh equation and Orr-Sommerfeld equation cannot capture the nature of the full differentials.

Publisher URL: http://arxiv.org/abs/1711.00505

DOI: arXiv:1711.00505v1

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