Geodesic
On a condition that ensures hydrodynamic stability and uniqueness of stationary and periodic fluid flows
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 1, Tome 190 (2021), pp. 122-129.

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In this paper, we propose a condition that ensures the applicability of the first Lyapunov method to justifying stability of stationary and periodic fluid flows in a bounded region and the uniqueness of solutions of the corresponding problems.
Keywords: evolutionary Navier–Stokes equations, hydrodynamic stability, linearized problem, property of uniform dissipativity. 
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V. L. Khatskevich. On a condition that ensures hydrodynamic stability and uniqueness of stationary and periodic fluid flows. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 1, Tome 190 (2021), pp. 122-129. http://geodesic.mathdoc.fr/item/INTO_2021_190_a11/

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