Geodesic
On Strong Convergence of Attractors of Navier--Stokes Equations in the Limit of Vanishing Viscosity
Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 635-639.

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Keywords: Navier–Stokes and Euler equations, attractors, energy equality. 
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A. A. Ilyin; V. V. Chepyzhov. On Strong Convergence of Attractors of Navier--Stokes Equations in the Limit of Vanishing Viscosity. Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 635-639. http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a12/

[1] A. A. Ilin, Matem. sb., 182:12 (1991), 1729–1739 | MR | Zbl

[2] V. V. Chepyzhov, M. I. Vishik, S. V. Zelik, J. Math. Pures Appl. (9), 96:4 (2011), 395–407 | DOI | MR | Zbl

[3] A. A. Ilyin, A. Miranville, E. S. Titi, Commun. Math. Sci., 2:3 (2004), 403–426 | DOI | MR | Zbl

[4] V. V. Chepyzhov, M. I. Vishik, Russ. J. Math. Phys., 15:2 (2008), 156–170 | DOI | MR | Zbl

[5] V. V. Chepyzhov, A. A. Ilyin, S. V. Zelik, “Strong trajectory and global $\mathbf{W}^{1,p}$-attractors for the damped-driven Euler system in $\mathbb R^2$”, Discrete Contin. Dyn. Syst. Ser. B (to appear)

[6] P. Constantin, F. Ramos, Comm. Math. Phys., 275:2 (2007), 529–551 | DOI | MR | Zbl

[7] A. Ilyin, K. Patni, S. Zelik, Discrete Contin. Dyn. Syst., 36:4 (2016), 2085–2102 | DOI | MR | Zbl

[8] R. J. DiPerna, P.-L. Lions, Invent. Math., 98:3 (1989), 511–547 | DOI | MR | Zbl

[9] A. V. Babin, M. I. Vishik, Attraktory evolyutsionnykh uravnenii, Nauka, M., 1989 | MR | Zbl

[10] R. Temam, Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Appl. Math. Sci., 68, New York, Springer, 1997 | MR | Zbl

[11] A. V. Babin, M. I. Vishik, Matem. sb., 126 (168):3 (1985), 397–419 | MR | Zbl

[12] P. O. Kasyanov, Matem. zametki, 92:2 (2012), 225–240 | DOI | MR | Zbl

[13] V. V. Chepyzhov, M. I. Vishik, Attractors for Equations of Mathematical Physics, Amer. Math. Soc. Colloq. Publ., 49, Amer. Math. Soc., Providence, RI, 2002 | MR | Zbl

[14] R. Rosa, Nonlinear Anal., 32:1 (1998), 71–85 | DOI | MR | Zbl

[15] R. Temam, Uravnenie Nave–Stoksa. Teoriya i chislennyi analiz, Mir, M., 1981 | MR | Zbl