Attractors of weak solutions to a~regularized system of motion equations for fluids with memory
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 86-89.

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In this paper we announce the existence of trajectory and global attractors for weak solutions to a regularized model of flows with memory.
Mots-clés : regularized model of flows with memory, weak solutions, trajectory and global attractors, existence theorems.
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V. G. Zvyagin; S. K. Kondrat'ev. Attractors of weak solutions to a~regularized system of motion equations for fluids with memory. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 86-89. https://geodesic-test.mathdoc.fr/item/IVM_2011_8_a10/

[1] Zvyagin V. G., Dmitrienko V. T., “O slabykh resheniyakh nachalno-kraevoi zadachi dlya uravneniya dvizheniya vyazkouprugoi zhidkosti”, Dokl. RAN, 380:3 (2001), 308–311 | MR | Zbl

[2] Zvyagin V. G., Dmitrienko V. T., “O slabykh resheniyakh regulyarizovannoi modeli vyazkouprugoi zhidkosti”, Differents. uravneniya, 38:12 (2002), 1633–1645 | MR | Zbl

[3] Zvyagin V. G., Vorotnikov D. A., Topological approximation methods for evolutionary problems of nonlinear hydrodynamics, Walter de Gruyter, Berlin, 2008 | MR

[4] Dmitrienko V. T., Zvyagin V. G., “Konstruktsii operatora regulyarizatsii v modelyakh dvizheniya vyazkouprugikh sred”, Vestnik Voronezhsk. un-ta. Ser. fiz. matem., 2004, no. 2, 148–153

[5] Vorotnikov D. A., Zvyagin V. G., “Trajectory and global attractors of the boundary value problem for autonomous motion equations of viscoelastic medium”, J. Math. Fluid Mech., 10:1 (2008), 19—44 | DOI | MR | Zbl

[6] Zvyagin V. G., Kondratev S. K., Attraktory dlya uravnenii modelei dvizheniya vyazkouprugikh sred, IPTs Voronezhsk. un-ta, Voronezh, 2010