@article{ijpdea2017512,
author={Gubarev, Yuriy G.},
title={On Instability of Steady¨CState Three¨CDimensional Flows of an Ideal Compressible Fluid},
journal={International Journal of Partial Differential Equations and Applications},
volume={5},
number={1},
pages={10--18},
year={2017},
url={http://pubs.sciepub.com/ijpdea/5/1/2},
issn={2376-9556},
abstract={The problem on linear stability of stationary spatial flows of an inviscid compressible fluid entirely occupying a certain volume with quiescent solid impenetrable boundary in absence of external mass forces is studied. Applying the direct Lyapunov method, such flows are proved to be absolutely unstable under small three¨Cdimensional (3D) perturbations. Constructive conditions for linear practical instability are obtained. The a priori exponential lower estimate for the growth of the considered perturbations in time is found.},
doi={10.12691/ijpdea-5-1-2}
publisher={Science and Education Publishing}
}