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On the instability of some upward propagating, exact, nonlinear mountain waves

Announce Type: replace Abstract: Using the short-wavelength instability method, we investigate the linear instability of an exact solution describing upward-propagating mountain waves, derived in A. Constantin, \emph{J. Phys. Theor.} (2023), under the assumption of a dry adiabatic flow. Within this approach, the stability problem reduces to analysing a system of ordinary differential equations along fluid trajectories.

arXiv Physics 7d ago