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@article{IVM_2016_10_a8, author = {A. V. Zvyagin}, title = {Solvability of thermoviscoelastic problem for {Leray} alpha-model}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {70--75}, publisher = {mathdoc}, number = {10}, year = {2016}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2016_10_a8/} }
A. V. Zvyagin. Solvability of thermoviscoelastic problem for Leray alpha-model. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 70-75. http://geodesic.mathdoc.fr/item/IVM_2016_10_a8/
[1] Leray J., “Essai sur le mouvement d'un fluide visqueux emplissant l'espace”, Acta Math., 63 (1934), 193–248 | DOI | MR | Zbl
[2] Foias C., Holm D. D., Titi E. S., “The three dimensional viscous Camassa–Holm equations, and their relation to the Navier–Stokes equations and turbulence theory”, J. Dynam. Diff. Equat., 14:1 (2002), 1–35 | DOI | MR | Zbl
[3] Antontsev S. N., Kazhikhov A. V., Monakhov V. N., Kraevye zadachi mekhaniki neodnorodnykh zhidkostei, Nauka, Novosibirsk, 1983
[4] Cheskidov A., Holm D. D., Olson E., Titi E. S., “On a Leray-$\alpha$ model of turbulence”, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 461:2055 (2005), 629–649 | DOI | MR | Zbl
[5] Ilyin A. A., Lunasin E. M., Titi E. S., “A modified-Leray-$\alpha$ subgrid scale model of turbulence”, Nonlinearity, 19:4 (2006), 879–897 | DOI | MR | Zbl
[6] Zvyagin V. G., Orlov V. P., “On certain mathematical models in continuum thermomechanics”, J. Fixed Point Theory and Appl., 15:1 (2014), 3–47 | DOI | MR | Zbl
[7] Zvyagin V. G., Orlov V. P., “Ob odnoi parabolicheskoi zadache dvizheniya termovyazkouprugikh sred”, Matem. zametki, 99:3 (2016), 465–469 | DOI | MR
[8] Zvyagin V. G., Orlov V. P., “Razreshimost v slabom smysle sistemy termovyazkouprugosti dlya modeli Dzheffrisa”, Izv. vuzov. Matem., 2013, no. 9, 64–69 | MR | Zbl
[9] Zvyagin A. V., Orlov V. P., “Razreshimost zadachi termovyazkouprugosti dlya odnoi modeli Oskolkova”, Izv. vuzov. Matem., 2014, no. 9, 69–74 | MR | Zbl
[10] Zvyagin A. V., Orlov V. P., “Issledovanie razreshimosti zadachi termovyazkouprugosti dlya lineino uprugo-zapazdyvayuschei zhidkosti Foigta”, Matem. zametki, 97:5 (2015), 681–698 | DOI | MR | Zbl
[11] Fursikov A. V., Optimalnoe upravlenie raspredelennymi sistemami. Teoriya i prilozheniya, Nauchnaya kniga, Novosibirsk, 1999
[12] Simon J., “Compact sets in the space $L^p(0,T; B)$”, Ann. Mat. Pura Appl., 146 (1987), 65–96 | DOI | MR | Zbl