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Trudy Matematicheskogo Instituta im. V. A. Steklova, 1988, Volume 179, Pages 126–164 (Mi tm2102)  

This article is cited in 76 scientific papers (total in 76 papers)

Initial-boundary value problems for equations of motion of Kelvin–Voight fluids and Oldroyd fluids

A. P. Oskolkov
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. P. Oskolkov, “Initial-boundary value problems for equations of motion of Kelvin–Voight fluids and Oldroyd fluids”, Boundary value problems of mathematical physics. Part 13, Work collection, Trudy Mat. Inst. Steklov., 179, 1988, 126–164; Proc. Steklov Inst. Math., 179 (1989), 137–182
Citation in format AMSBIB
\Bibitem{Osk88}
\by A.~P.~Oskolkov
\paper Initial-boundary value problems for equations of motion of Kelvin--Voight fluids and Oldroyd fluids
\inbook Boundary value problems of mathematical physics. Part~13
\bookinfo Work collection
\serial Trudy Mat. Inst. Steklov.
\yr 1988
\vol 179
\pages 126--164
\mathnet{http://mi.mathnet.ru/tm2102}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=964916}
\zmath{https://zbmath.org/?q=an:0674.76004}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1989
\vol 179
\pages 137--182
Linking options:
  • https://www.mathnet.ru/eng/tm2102
  • https://www.mathnet.ru/eng/tm/v179/p126
  • This publication is cited in the following 76 articles:
    1. V. G. Zvyagin, M. V. Turbin, “Razreshimost v slabom smysle nachalno-kraevoi zadachi dlya modeli Kelvina–Foigta vtorogo poryadka so sglazhennoi proizvodnoi Yaumanna”, Izv. vuzov. Matem., 2025, no. 2, 91–97  mathnet  crossref
    2. V. G. Zvyagin, V. P. Orlov, “On weak solvability of fractional models of viscoelastic high order fluid”, Izv. Math., 88:1 (2024), 54–76  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. M. Kh. Beshtokov, “Lokalno-odnomernaya skhema dlya tretei nachalno-kraevoi zadachi dlya mnogomernogo uravneniya sobolevskogo tipa s effektom pamyati”, Vladikavk. matem. zhurn., 26:1 (2024), 36–55  mathnet  crossref
    4. G. Mulone, “Nonlinear monotone H1 stability of plane Poiseuille and Couette flows of a Navier–Stokes–Voigt fluid of order zero”, Algebra i analiz, 36:3 (2024), 152–164  mathnet
    5. E. I. Kostenko, “Slabaya razreshimost odnoi modeli dvizheniya nelineino-zapazdyvayuschei zhidkosti v teplovom pole”, Izv. vuzov. Matem., 2024, no. 5, 91–96  mathnet  crossref
    6. T. G. Sukacheva, A. O. Kondiukov, “Analysis of the Avalos–Triggiani problem for the linear Oskolkov system of the highest order and a system of wave equations”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 17:2 (2024), 104–110  mathnet  crossref
    7. A. V. Zvyagin, V. G. Zvyagin, V. P. Orlov, “Some properties of trajectories of a nonhomogeneous velocity field of a viscoelastic fluid in a multiconnected domain”, Math. Notes, 116:4 (2024), 853–857  mathnet  crossref  crossref
    8. A. S. Shamaev, V. V. Shumilova, “Homogenization of motion equations for medium consisting of elastic material and incompessible Kelvin-Voigt fluid”, Ufa Math. J., 16:1 (2024), 100–111  mathnet  crossref
    9. S. N. Antontsev, I. V. Kuznetsov, S. A. Sazhenkov, “Impulsnye uravneniya Kelvina–Foigta dinamiki neszhimaemoi vyazkouprugoi zhidkosti”, Prikl. mekh. tekhn. fiz., 65:5 (2024), 28–42  mathnet  crossref
    10. V. G. Zvyagin, V. P. Orlov, “The weak solvability of an inhomogeneous dynamic problem for a viscoelastic continuum with memory”, Funct. Anal. Appl., 57:1 (2023), 74–79  mathnet  crossref  crossref
    11. V. G. Zvyagin, M. V. Turbin, “Solvability of the initial-boundary value problem for the Kelvin–Voigt fluid motion model with variable density”, Dokl. Math., 107:1 (2023), 9–11  mathnet  crossref  crossref  elib
    12. V. G. Zvyagin, V. P. Orlov, “The problem of the flow of one type of non-Newtonian fluid through the boundary of a multi-connected domain”, Dokl. Math., 107:2 (2023), 112–116  mathnet  crossref  crossref  elib
    13. V. G. Zvyagin, M. V. Turbin, “An Existence Theorem for Weak Solutions of the Initial–Boundary Value Problem for the Inhomogeneous Incompressible Kelvin–Voigt Model in Which the Initial Value of Density is Not Bounded from Below”, Math. Notes, 114:4 (2023), 630–634  mathnet  crossref  crossref
    14. T. G. Sukacheva, A. O. Kondyukov, “An analysis of the Avalos–Triggiani problem for the linear Oskolkov system of non-zero order and a system of wave equations”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 16:4 (2023), 93–98  mathnet  crossref
    15. T. G. Sukacheva, “Oskolkov models and Sobolev-type equations”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 15:1 (2022), 5–22  mathnet  crossref
    16. M. V. Plekhanova, E. M. Izhberdeeva, “O korrektnosti obratnoi zadachi dlya vyrozhdennogo evolyutsionnogo uravneniya s drobnoi proizvodnoi Dzhrbashyana—Nersesyana”, Geometriya, mekhanika i differentsialnye uravneniya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 213, VINITI RAN, M., 2022, 80–88  mathnet  crossref
    17. V. G. Zvyagin, V. P. Orlov, M. V. Turbin, “Solvability of the initial-boundary value problem for the high-order Oldroyd model”, Russian Math. (Iz. VUZ), 66:7 (2022), 70–75  mathnet  crossref  crossref
    18. O. P. Matveeva, T. G. Sukacheva, “Analysis of the class of hydrodynamic systems”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 14:3 (2022), 45–51  mathnet  crossref  mathscinet
    19. A. S. Ustiuzhaninova, “Pullback-attractors for the modified Kelvin-Voigt model”, Russian Math. (Iz. VUZ), 65:5 (2021), 77–82  mathnet  crossref  crossref  isi
    20. A. O. Kondyukov, T. G. Sukacheva, “A non-stationary model of the incompressible viscoelastic Kelvin–Voigt fluid of non-zero order in the magnetic field of the Earth”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 12:3 (2019), 42–51  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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