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. 
@article{INTO_2021_190_a11,
     author = {V. L. Khatskevich},
     title = {On a condition that ensures hydrodynamic stability and uniqueness of stationary and periodic fluid flows},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {122--129},
     publisher = {mathdoc},
     volume = {190},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_190_a11/}
}
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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/