Stabilization of vortex flows through an annular domain
Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 1, pp. 108-113.

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In this note, we consider the planar nonstationary through-flow problem for ideal incompressible and homogeneous fluid in an annular domain and describe the behavior of its solutions when $t\to +\infty$.
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A. B. Morgulis. Stabilization of vortex flows through an annular domain. Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 1, pp. 108-113. http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a12/

[1] G. V. Alekseev, “O stabilizatsii reshenii dvumernykh uravnenii dinamiki idealnoi zhidkosti”, Prikl. mekh. tekhn. fiz., 102:2 (1977), 85–-92

[2] A. B. Morgulis, V. I. Yudovich, “Asimptoticheskaya ustoichivost statsionarnogo rezhima protekaniya idealnoi neszhimaemoi zhidkosti”, Sib. matem. zhurn. \year 2002, 43:4, 840–857 | MR | Zbl

[3] A. Morgulis, V. Yudovich, “Arnold's method for asymptotic stability of steady inviscid incompressible flow through a fixed domain with permeable boundary”, Chaos\year 2002, 12:2, 356–371 | MR | Zbl

[4] A. B. Morgulis, “Non-linear Asymptotic Stability for the Through-Passing Flows of Inviscid Incompressible Fluid”, {Asymptotic Analysis}\year 2010, 66, 229–247 | MR | Zbl

[5] A. B. Morgulis, “Variatsionnye printsipy i ustoichivost otkrytykh techenii idealnoi neszhimaemoi zhidkosti”, Cibirskie elektronnye matematicheskie izvestiya\year 2017, 14, 218–-251 | MR | Zbl

[6] V. I. Yudovich., “Dvumernaya nestatsionarnaya zadacha o protekanii idealnoi neszhimaemoi zhidkosti cherez zadannuyu oblast”, Matem. sbornik, 64 (106):4 (1964), 562–588

[7] G. V. Alekseev, “O razreshimosti neodnorodnoi kraevoi zadachi dlya dvumernykh nestatsionarnykh uravnenii dinamiki idealnoi zhidkosti”, Dinamika sploshnoi sredy, 24 (1976), 15–35

[8] C. Bardos, “Existence et Unicite de la Solution de l’Equation d’Euler en Dimention Deux”, J. Math. Analysis Appl., 40 (1972), 769–-790 | DOI | MR | Zbl