Abstract: The main goal of this report is to prove an absolute instability for steady-state three-dimensional flows of an ideal compressible fluid entirely occupying a certain volume with quiescent solid impenetrable boundary under small spatial perturbations in absence of external mass forces. Also, we will receive constructive conditions for linear practical instability and, as a sequence, the a priori exponential lower estimate for growth in time of the considered perturbations.

Cite: Gubarev Y.G. , Danilov A.A.
Study of linear instability for steady-state three-dimensional flows of an ideal compressible fluid
Russian-Chinese Conference ``Differential and Difference Equations'' 31 Oct - 6 Nov 2025